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Simplifying 2(4x + 4) = 4(6x + -4) Reorder the terms: 2(4 + 4x) = 4(6x + -4) (4 * 2 + 4x * 2) = 4(6x + -4) (8 + 8x) = 4(6x + -4) Reorder the terms: 8 + 8x = 4(-4 + 6x) 8 + 8x = (-4 * 4 + 6x * 4) 8 + 8x = (-16 + 24x) Solving 8 + 8x = -16 + 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. 8 + 8x + -24x = -16 + 24x + -24x Combine like terms: 8x + -24x = -16x 8 + -16x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 8 + -16x = -16 + 0 8 + -16x = -16 Add '-8' to each side of the equation. 8 + -8 + -16x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = -16 + -8 -16x = -16 + -8 Combine like terms: -16 + -8 = -24 -16x = -24 Divide each side by '-16'. x = 1.5 Simplifying x = 1.5
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