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