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Simplifying 1 + -1(x + 4(x + -5) + 3x) = 2(x + -3) + -5(-1x) Reorder the terms: 1 + -1(x + 4(-5 + x) + 3x) = 2(x + -3) + -5(-1x) 1 + -1(x + (-5 * 4 + x * 4) + 3x) = 2(x + -3) + -5(-1x) 1 + -1(x + (-20 + 4x) + 3x) = 2(x + -3) + -5(-1x) Reorder the terms: 1 + -1(-20 + x + 4x + 3x) = 2(x + -3) + -5(-1x) Combine like terms: x + 4x = 5x 1 + -1(-20 + 5x + 3x) = 2(x + -3) + -5(-1x) Combine like terms: 5x + 3x = 8x 1 + -1(-20 + 8x) = 2(x + -3) + -5(-1x) 1 + (-20 * -1 + 8x * -1) = 2(x + -3) + -5(-1x) 1 + (20 + -8x) = 2(x + -3) + -5(-1x) Combine like terms: 1 + 20 = 21 21 + -8x = 2(x + -3) + -5(-1x) Reorder the terms: 21 + -8x = 2(-3 + x) + -5(-1x) 21 + -8x = (-3 * 2 + x * 2) + -5(-1x) 21 + -8x = (-6 + 2x) + -5(-1x) Remove parenthesis around (-1x) 21 + -8x = -6 + 2x + -5 * -1x Multiply -5 * -1 21 + -8x = -6 + 2x + 5x Combine like terms: 2x + 5x = 7x 21 + -8x = -6 + 7x Solving 21 + -8x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + -8x + -7x = -6 + 7x + -7x Combine like terms: -8x + -7x = -15x 21 + -15x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -15x = -6 + 0 21 + -15x = -6 Add '-21' to each side of the equation. 21 + -21 + -15x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = -6 + -21 -15x = -6 + -21 Combine like terms: -6 + -21 = -27 -15x = -27 Divide each side by '-15'. x = 1.8 Simplifying x = 1.8
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