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Simplifying 2(4 + -5x) + -3(x + 6) = 8 (4 * 2 + -5x * 2) + -3(x + 6) = 8 (8 + -10x) + -3(x + 6) = 8 Reorder the terms: 8 + -10x + -3(6 + x) = 8 8 + -10x + (6 * -3 + x * -3) = 8 8 + -10x + (-18 + -3x) = 8 Reorder the terms: 8 + -18 + -10x + -3x = 8 Combine like terms: 8 + -18 = -10 -10 + -10x + -3x = 8 Combine like terms: -10x + -3x = -13x -10 + -13x = 8 Solving -10 + -13x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -13x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = 8 + 10 -13x = 8 + 10 Combine like terms: 8 + 10 = 18 -13x = 18 Divide each side by '-13'. x = -1.384615385 Simplifying x = -1.384615385
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