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Simplifying 10(x + 4) + -9(x + -3) = 8 Reorder the terms: 10(4 + x) + -9(x + -3) = 8 (4 * 10 + x * 10) + -9(x + -3) = 8 (40 + 10x) + -9(x + -3) = 8 Reorder the terms: 40 + 10x + -9(-3 + x) = 8 40 + 10x + (-3 * -9 + x * -9) = 8 40 + 10x + (27 + -9x) = 8 Reorder the terms: 40 + 27 + 10x + -9x = 8 Combine like terms: 40 + 27 = 67 67 + 10x + -9x = 8 Combine like terms: 10x + -9x = 1x 67 + 1x = 8 Solving 67 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 1x = 8 + -67 Combine like terms: 67 + -67 = 0 0 + 1x = 8 + -67 1x = 8 + -67 Combine like terms: 8 + -67 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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