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Simplifying 6x + 5(3 + -1x) = 3x + -1(4x + -5) 6x + (3 * 5 + -1x * 5) = 3x + -1(4x + -5) 6x + (15 + -5x) = 3x + -1(4x + -5) Reorder the terms: 15 + 6x + -5x = 3x + -1(4x + -5) Combine like terms: 6x + -5x = 1x 15 + 1x = 3x + -1(4x + -5) Reorder the terms: 15 + 1x = 3x + -1(-5 + 4x) 15 + 1x = 3x + (-5 * -1 + 4x * -1) 15 + 1x = 3x + (5 + -4x) Reorder the terms: 15 + 1x = 5 + 3x + -4x Combine like terms: 3x + -4x = -1x 15 + 1x = 5 + -1x Solving 15 + 1x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x 15 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 15 + 2x = 5 + 0 15 + 2x = 5 Add '-15' to each side of the equation. 15 + -15 + 2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 5 + -15 2x = 5 + -15 Combine like terms: 5 + -15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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