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Simplifying -7(x + -2) + -2(-5x + -9) = 2(x + 4) + 9 Reorder the terms: -7(-2 + x) + -2(-5x + -9) = 2(x + 4) + 9 (-2 * -7 + x * -7) + -2(-5x + -9) = 2(x + 4) + 9 (14 + -7x) + -2(-5x + -9) = 2(x + 4) + 9 Reorder the terms: 14 + -7x + -2(-9 + -5x) = 2(x + 4) + 9 14 + -7x + (-9 * -2 + -5x * -2) = 2(x + 4) + 9 14 + -7x + (18 + 10x) = 2(x + 4) + 9 Reorder the terms: 14 + 18 + -7x + 10x = 2(x + 4) + 9 Combine like terms: 14 + 18 = 32 32 + -7x + 10x = 2(x + 4) + 9 Combine like terms: -7x + 10x = 3x 32 + 3x = 2(x + 4) + 9 Reorder the terms: 32 + 3x = 2(4 + x) + 9 32 + 3x = (4 * 2 + x * 2) + 9 32 + 3x = (8 + 2x) + 9 Reorder the terms: 32 + 3x = 8 + 9 + 2x Combine like terms: 8 + 9 = 17 32 + 3x = 17 + 2x Solving 32 + 3x = 17 + 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. 32 + 3x + -2x = 17 + 2x + -2x Combine like terms: 3x + -2x = 1x 32 + 1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 1x = 17 + 0 32 + 1x = 17 Add '-32' to each side of the equation. 32 + -32 + 1x = 17 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 17 + -32 1x = 17 + -32 Combine like terms: 17 + -32 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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