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