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Simplifying -3(4x + -6) + 8x = 6(x + 6) Reorder the terms: -3(-6 + 4x) + 8x = 6(x + 6) (-6 * -3 + 4x * -3) + 8x = 6(x + 6) (18 + -12x) + 8x = 6(x + 6) Combine like terms: -12x + 8x = -4x 18 + -4x = 6(x + 6) Reorder the terms: 18 + -4x = 6(6 + x) 18 + -4x = (6 * 6 + x * 6) 18 + -4x = (36 + 6x) Solving 18 + -4x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + -4x + -6x = 36 + 6x + -6x Combine like terms: -4x + -6x = -10x 18 + -10x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -10x = 36 + 0 18 + -10x = 36 Add '-18' to each side of the equation. 18 + -18 + -10x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = 36 + -18 -10x = 36 + -18 Combine like terms: 36 + -18 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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