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Simplifying -8(x + 9) = 2(x + 2) Reorder the terms: -8(9 + x) = 2(x + 2) (9 * -8 + x * -8) = 2(x + 2) (-72 + -8x) = 2(x + 2) Reorder the terms: -72 + -8x = 2(2 + x) -72 + -8x = (2 * 2 + x * 2) -72 + -8x = (4 + 2x) Solving -72 + -8x = 4 + 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. -72 + -8x + -2x = 4 + 2x + -2x Combine like terms: -8x + -2x = -10x -72 + -10x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -72 + -10x = 4 + 0 -72 + -10x = 4 Add '72' to each side of the equation. -72 + 72 + -10x = 4 + 72 Combine like terms: -72 + 72 = 0 0 + -10x = 4 + 72 -10x = 4 + 72 Combine like terms: 4 + 72 = 76 -10x = 76 Divide each side by '-10'. x = -7.6 Simplifying x = -7.6
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