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