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Simplifying 2x + -3(x + -1) = 5x + -7 Reorder the terms: 2x + -3(-1 + x) = 5x + -7 2x + (-1 * -3 + x * -3) = 5x + -7 2x + (3 + -3x) = 5x + -7 Reorder the terms: 3 + 2x + -3x = 5x + -7 Combine like terms: 2x + -3x = -1x 3 + -1x = 5x + -7 Reorder the terms: 3 + -1x = -7 + 5x Solving 3 + -1x = -7 + 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 + -1x + -5x = -7 + 5x + -5x Combine like terms: -1x + -5x = -6x 3 + -6x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -6x = -7 + 0 3 + -6x = -7 Add '-3' to each side of the equation. 3 + -3 + -6x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -7 + -3 -6x = -7 + -3 Combine like terms: -7 + -3 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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