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Simplifying 4(2x + -4) = 8(2x + 5) Reorder the terms: 4(-4 + 2x) = 8(2x + 5) (-4 * 4 + 2x * 4) = 8(2x + 5) (-16 + 8x) = 8(2x + 5) Reorder the terms: -16 + 8x = 8(5 + 2x) -16 + 8x = (5 * 8 + 2x * 8) -16 + 8x = (40 + 16x) Solving -16 + 8x = 40 + 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. -16 + 8x + -16x = 40 + 16x + -16x Combine like terms: 8x + -16x = -8x -16 + -8x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -16 + -8x = 40 + 0 -16 + -8x = 40 Add '16' to each side of the equation. -16 + 16 + -8x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 40 + 16 -8x = 40 + 16 Combine like terms: 40 + 16 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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