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Simplifying -2(2x + 5) + -7 = 4(x + 8) + -9 Reorder the terms: -2(5 + 2x) + -7 = 4(x + 8) + -9 (5 * -2 + 2x * -2) + -7 = 4(x + 8) + -9 (-10 + -4x) + -7 = 4(x + 8) + -9 Reorder the terms: -10 + -7 + -4x = 4(x + 8) + -9 Combine like terms: -10 + -7 = -17 -17 + -4x = 4(x + 8) + -9 Reorder the terms: -17 + -4x = 4(8 + x) + -9 -17 + -4x = (8 * 4 + x * 4) + -9 -17 + -4x = (32 + 4x) + -9 Reorder the terms: -17 + -4x = 32 + -9 + 4x Combine like terms: 32 + -9 = 23 -17 + -4x = 23 + 4x Solving -17 + -4x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + -4x + -4x = 23 + 4x + -4x Combine like terms: -4x + -4x = -8x -17 + -8x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -8x = 23 + 0 -17 + -8x = 23 Add '17' to each side of the equation. -17 + 17 + -8x = 23 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 23 + 17 -8x = 23 + 17 Combine like terms: 23 + 17 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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