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Simplifying 4(6x + -8) = 8(2x + 5) Reorder the terms: 4(-8 + 6x) = 8(2x + 5) (-8 * 4 + 6x * 4) = 8(2x + 5) (-32 + 24x) = 8(2x + 5) Reorder the terms: -32 + 24x = 8(5 + 2x) -32 + 24x = (5 * 8 + 2x * 8) -32 + 24x = (40 + 16x) Solving -32 + 24x = 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. -32 + 24x + -16x = 40 + 16x + -16x Combine like terms: 24x + -16x = 8x -32 + 8x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + 8x = 40 + 0 -32 + 8x = 40 Add '32' to each side of the equation. -32 + 32 + 8x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 40 + 32 8x = 40 + 32 Combine like terms: 40 + 32 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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