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Simplifying 3(x + 1) + -6(x + -4) = 8 Reorder the terms: 3(1 + x) + -6(x + -4) = 8 (1 * 3 + x * 3) + -6(x + -4) = 8 (3 + 3x) + -6(x + -4) = 8 Reorder the terms: 3 + 3x + -6(-4 + x) = 8 3 + 3x + (-4 * -6 + x * -6) = 8 3 + 3x + (24 + -6x) = 8 Reorder the terms: 3 + 24 + 3x + -6x = 8 Combine like terms: 3 + 24 = 27 27 + 3x + -6x = 8 Combine like terms: 3x + -6x = -3x 27 + -3x = 8 Solving 27 + -3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -3x = 8 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 8 + -27 -3x = 8 + -27 Combine like terms: 8 + -27 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333
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