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Simplifying 5x + -1(8 + -1(2x + 5) + (x + -4)) = 2x + -1(4x + -1(15x + -4)) Reorder the terms: 5x + -1(8 + -1(5 + 2x) + (x + -4)) = 2x + -1(4x + -1(15x + -4)) 5x + -1(8 + (5 * -1 + 2x * -1) + (x + -4)) = 2x + -1(4x + -1(15x + -4)) 5x + -1(8 + (-5 + -2x) + (x + -4)) = 2x + -1(4x + -1(15x + -4)) Reorder the terms: 5x + -1(8 + -5 + -2x + (-4 + x)) = 2x + -1(4x + -1(15x + -4)) Remove parenthesis around (-4 + x) 5x + -1(8 + -5 + -2x + -4 + x) = 2x + -1(4x + -1(15x + -4)) Reorder the terms: 5x + -1(8 + -5 + -4 + -2x + x) = 2x + -1(4x + -1(15x + -4)) Combine like terms: 8 + -5 = 3 5x + -1(3 + -4 + -2x + x) = 2x + -1(4x + -1(15x + -4)) Combine like terms: 3 + -4 = -1 5x + -1(-1 + -2x + x) = 2x + -1(4x + -1(15x + -4)) Combine like terms: -2x + x = -1x 5x + -1(-1 + -1x) = 2x + -1(4x + -1(15x + -4)) 5x + (-1 * -1 + -1x * -1) = 2x + -1(4x + -1(15x + -4)) 5x + (1 + 1x) = 2x + -1(4x + -1(15x + -4)) Reorder the terms: 1 + 5x + 1x = 2x + -1(4x + -1(15x + -4)) Combine like terms: 5x + 1x = 6x 1 + 6x = 2x + -1(4x + -1(15x + -4)) Reorder the terms: 1 + 6x = 2x + -1(4x + -1(-4 + 15x)) 1 + 6x = 2x + -1(4x + (-4 * -1 + 15x * -1)) 1 + 6x = 2x + -1(4x + (4 + -15x)) Reorder the terms: 1 + 6x = 2x + -1(4 + 4x + -15x) Combine like terms: 4x + -15x = -11x 1 + 6x = 2x + -1(4 + -11x) 1 + 6x = 2x + (4 * -1 + -11x * -1) 1 + 6x = 2x + (-4 + 11x) Reorder the terms: 1 + 6x = -4 + 2x + 11x Combine like terms: 2x + 11x = 13x 1 + 6x = -4 + 13x Solving 1 + 6x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 1 + 6x + -13x = -4 + 13x + -13x Combine like terms: 6x + -13x = -7x 1 + -7x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 1 + -7x = -4 + 0 1 + -7x = -4 Add '-1' to each side of the equation. 1 + -1 + -7x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -4 + -1 -7x = -4 + -1 Combine like terms: -4 + -1 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143
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