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Simplifying 6(-4x + 8) = -3(-6x + -9) Reorder the terms: 6(8 + -4x) = -3(-6x + -9) (8 * 6 + -4x * 6) = -3(-6x + -9) (48 + -24x) = -3(-6x + -9) Reorder the terms: 48 + -24x = -3(-9 + -6x) 48 + -24x = (-9 * -3 + -6x * -3) 48 + -24x = (27 + 18x) Solving 48 + -24x = 27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 48 + -24x + -18x = 27 + 18x + -18x Combine like terms: -24x + -18x = -42x 48 + -42x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 48 + -42x = 27 + 0 48 + -42x = 27 Add '-48' to each side of the equation. 48 + -48 + -42x = 27 + -48 Combine like terms: 48 + -48 = 0 0 + -42x = 27 + -48 -42x = 27 + -48 Combine like terms: 27 + -48 = -21 -42x = -21 Divide each side by '-42'. x = 0.5 Simplifying x = 0.5
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