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Simplifying -2(x + -6) = 3x + -8(x + -3) Reorder the terms: -2(-6 + x) = 3x + -8(x + -3) (-6 * -2 + x * -2) = 3x + -8(x + -3) (12 + -2x) = 3x + -8(x + -3) Reorder the terms: 12 + -2x = 3x + -8(-3 + x) 12 + -2x = 3x + (-3 * -8 + x * -8) 12 + -2x = 3x + (24 + -8x) Reorder the terms: 12 + -2x = 24 + 3x + -8x Combine like terms: 3x + -8x = -5x 12 + -2x = 24 + -5x Solving 12 + -2x = 24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -2x + 5x = 24 + -5x + 5x Combine like terms: -2x + 5x = 3x 12 + 3x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 3x = 24 + 0 12 + 3x = 24 Add '-12' to each side of the equation. 12 + -12 + 3x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 24 + -12 3x = 24 + -12 Combine like terms: 24 + -12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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