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Simplifying -2(8x + -4) + 9x = 2(x + 1) Reorder the terms: -2(-4 + 8x) + 9x = 2(x + 1) (-4 * -2 + 8x * -2) + 9x = 2(x + 1) (8 + -16x) + 9x = 2(x + 1) Combine like terms: -16x + 9x = -7x 8 + -7x = 2(x + 1) Reorder the terms: 8 + -7x = 2(1 + x) 8 + -7x = (1 * 2 + x * 2) 8 + -7x = (2 + 2x) Solving 8 + -7x = 2 + 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. 8 + -7x + -2x = 2 + 2x + -2x Combine like terms: -7x + -2x = -9x 8 + -9x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -9x = 2 + 0 8 + -9x = 2 Add '-8' to each side of the equation. 8 + -8 + -9x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 2 + -8 -9x = 2 + -8 Combine like terms: 2 + -8 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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