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Simplifying 6(x + 8) + 2(x + -9) = -2x + 40 Reorder the terms: 6(8 + x) + 2(x + -9) = -2x + 40 (8 * 6 + x * 6) + 2(x + -9) = -2x + 40 (48 + 6x) + 2(x + -9) = -2x + 40 Reorder the terms: 48 + 6x + 2(-9 + x) = -2x + 40 48 + 6x + (-9 * 2 + x * 2) = -2x + 40 48 + 6x + (-18 + 2x) = -2x + 40 Reorder the terms: 48 + -18 + 6x + 2x = -2x + 40 Combine like terms: 48 + -18 = 30 30 + 6x + 2x = -2x + 40 Combine like terms: 6x + 2x = 8x 30 + 8x = -2x + 40 Reorder the terms: 30 + 8x = 40 + -2x Solving 30 + 8x = 40 + -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. 30 + 8x + 2x = 40 + -2x + 2x Combine like terms: 8x + 2x = 10x 30 + 10x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 10x = 40 + 0 30 + 10x = 40 Add '-30' to each side of the equation. 30 + -30 + 10x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 40 + -30 10x = 40 + -30 Combine like terms: 40 + -30 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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