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Simplifying 2(4x + -2) + 9 = 2(8x + 7) Reorder the terms: 2(-2 + 4x) + 9 = 2(8x + 7) (-2 * 2 + 4x * 2) + 9 = 2(8x + 7) (-4 + 8x) + 9 = 2(8x + 7) Reorder the terms: -4 + 9 + 8x = 2(8x + 7) Combine like terms: -4 + 9 = 5 5 + 8x = 2(8x + 7) Reorder the terms: 5 + 8x = 2(7 + 8x) 5 + 8x = (7 * 2 + 8x * 2) 5 + 8x = (14 + 16x) Solving 5 + 8x = 14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 5 + 8x + -16x = 14 + 16x + -16x Combine like terms: 8x + -16x = -8x 5 + -8x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 5 + -8x = 14 + 0 5 + -8x = 14 Add '-5' to each side of the equation. 5 + -5 + -8x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 14 + -5 -8x = 14 + -5 Combine like terms: 14 + -5 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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