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Simplifying 4(6x + -12) = 3(16x + -8) Reorder the terms: 4(-12 + 6x) = 3(16x + -8) (-12 * 4 + 6x * 4) = 3(16x + -8) (-48 + 24x) = 3(16x + -8) Reorder the terms: -48 + 24x = 3(-8 + 16x) -48 + 24x = (-8 * 3 + 16x * 3) -48 + 24x = (-24 + 48x) Solving -48 + 24x = -24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -48 + 24x + -48x = -24 + 48x + -48x Combine like terms: 24x + -48x = -24x -48 + -24x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 -48 + -24x = -24 + 0 -48 + -24x = -24 Add '48' to each side of the equation. -48 + 48 + -24x = -24 + 48 Combine like terms: -48 + 48 = 0 0 + -24x = -24 + 48 -24x = -24 + 48 Combine like terms: -24 + 48 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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