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Simplifying 3x + -1(6x + -5) = 5x + -3(2x + 1) Reorder the terms: 3x + -1(-5 + 6x) = 5x + -3(2x + 1) 3x + (-5 * -1 + 6x * -1) = 5x + -3(2x + 1) 3x + (5 + -6x) = 5x + -3(2x + 1) Reorder the terms: 5 + 3x + -6x = 5x + -3(2x + 1) Combine like terms: 3x + -6x = -3x 5 + -3x = 5x + -3(2x + 1) Reorder the terms: 5 + -3x = 5x + -3(1 + 2x) 5 + -3x = 5x + (1 * -3 + 2x * -3) 5 + -3x = 5x + (-3 + -6x) Reorder the terms: 5 + -3x = -3 + 5x + -6x Combine like terms: 5x + -6x = -1x 5 + -3x = -3 + -1x Solving 5 + -3x = -3 + -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. 5 + -3x + x = -3 + -1x + x Combine like terms: -3x + x = -2x 5 + -2x = -3 + -1x + x Combine like terms: -1x + x = 0 5 + -2x = -3 + 0 5 + -2x = -3 Add '-5' to each side of the equation. 5 + -5 + -2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -3 + -5 -2x = -3 + -5 Combine like terms: -3 + -5 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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