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Simplifying 4(-6x + 4) = -8(-3x + 4) Reorder the terms: 4(4 + -6x) = -8(-3x + 4) (4 * 4 + -6x * 4) = -8(-3x + 4) (16 + -24x) = -8(-3x + 4) Reorder the terms: 16 + -24x = -8(4 + -3x) 16 + -24x = (4 * -8 + -3x * -8) 16 + -24x = (-32 + 24x) Solving 16 + -24x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 16 + -24x + -24x = -32 + 24x + -24x Combine like terms: -24x + -24x = -48x 16 + -48x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 16 + -48x = -32 + 0 16 + -48x = -32 Add '-16' to each side of the equation. 16 + -16 + -48x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -48x = -32 + -16 -48x = -32 + -16 Combine like terms: -32 + -16 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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