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Simplifying -2(7x + -9) + 8x = 2(x + 4) Reorder the terms: -2(-9 + 7x) + 8x = 2(x + 4) (-9 * -2 + 7x * -2) + 8x = 2(x + 4) (18 + -14x) + 8x = 2(x + 4) Combine like terms: -14x + 8x = -6x 18 + -6x = 2(x + 4) Reorder the terms: 18 + -6x = 2(4 + x) 18 + -6x = (4 * 2 + x * 2) 18 + -6x = (8 + 2x) Solving 18 + -6x = 8 + 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. 18 + -6x + -2x = 8 + 2x + -2x Combine like terms: -6x + -2x = -8x 18 + -8x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -8x = 8 + 0 18 + -8x = 8 Add '-18' to each side of the equation. 18 + -18 + -8x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 8 + -18 -8x = 8 + -18 Combine like terms: 8 + -18 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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