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Simplifying 2(2x + -9) + 5 = -7(-1x + -8) Reorder the terms: 2(-9 + 2x) + 5 = -7(-1x + -8) (-9 * 2 + 2x * 2) + 5 = -7(-1x + -8) (-18 + 4x) + 5 = -7(-1x + -8) Reorder the terms: -18 + 5 + 4x = -7(-1x + -8) Combine like terms: -18 + 5 = -13 -13 + 4x = -7(-1x + -8) Reorder the terms: -13 + 4x = -7(-8 + -1x) -13 + 4x = (-8 * -7 + -1x * -7) -13 + 4x = (56 + 7x) Solving -13 + 4x = 56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 4x + -7x = 56 + 7x + -7x Combine like terms: 4x + -7x = -3x -13 + -3x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -3x = 56 + 0 -13 + -3x = 56 Add '13' to each side of the equation. -13 + 13 + -3x = 56 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 56 + 13 -3x = 56 + 13 Combine like terms: 56 + 13 = 69 -3x = 69 Divide each side by '-3'. x = -23 Simplifying x = -23
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