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Simplifying -3(6x + -8) = 4(-4x + 9) Reorder the terms: -3(-8 + 6x) = 4(-4x + 9) (-8 * -3 + 6x * -3) = 4(-4x + 9) (24 + -18x) = 4(-4x + 9) Reorder the terms: 24 + -18x = 4(9 + -4x) 24 + -18x = (9 * 4 + -4x * 4) 24 + -18x = (36 + -16x) Solving 24 + -18x = 36 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 24 + -18x + 16x = 36 + -16x + 16x Combine like terms: -18x + 16x = -2x 24 + -2x = 36 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + -2x = 36 + 0 24 + -2x = 36 Add '-24' to each side of the equation. 24 + -24 + -2x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 36 + -24 -2x = 36 + -24 Combine like terms: 36 + -24 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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