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Simplifying -2(x + -5) + -1 = 3(x + 3) + -7 Reorder the terms: -2(-5 + x) + -1 = 3(x + 3) + -7 (-5 * -2 + x * -2) + -1 = 3(x + 3) + -7 (10 + -2x) + -1 = 3(x + 3) + -7 Reorder the terms: 10 + -1 + -2x = 3(x + 3) + -7 Combine like terms: 10 + -1 = 9 9 + -2x = 3(x + 3) + -7 Reorder the terms: 9 + -2x = 3(3 + x) + -7 9 + -2x = (3 * 3 + x * 3) + -7 9 + -2x = (9 + 3x) + -7 Reorder the terms: 9 + -2x = 9 + -7 + 3x Combine like terms: 9 + -7 = 2 9 + -2x = 2 + 3x Solving 9 + -2x = 2 + 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. 9 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x 9 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -5x = 2 + 0 9 + -5x = 2 Add '-9' to each side of the equation. 9 + -9 + -5x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 2 + -9 -5x = 2 + -9 Combine like terms: 2 + -9 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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