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Simplifying 6(2 + -3x) = -3(x + -8) (2 * 6 + -3x * 6) = -3(x + -8) (12 + -18x) = -3(x + -8) Reorder the terms: 12 + -18x = -3(-8 + x) 12 + -18x = (-8 * -3 + x * -3) 12 + -18x = (24 + -3x) Solving 12 + -18x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -18x + 3x = 24 + -3x + 3x Combine like terms: -18x + 3x = -15x 12 + -15x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -15x = 24 + 0 12 + -15x = 24 Add '-12' to each side of the equation. 12 + -12 + -15x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 24 + -12 -15x = 24 + -12 Combine like terms: 24 + -12 = 12 -15x = 12 Divide each side by '-15'. x = -0.8 Simplifying x = -0.8
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