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Simplifying 8(3x + 8) = 8(9x + -4) Reorder the terms: 8(8 + 3x) = 8(9x + -4) (8 * 8 + 3x * 8) = 8(9x + -4) (64 + 24x) = 8(9x + -4) Reorder the terms: 64 + 24x = 8(-4 + 9x) 64 + 24x = (-4 * 8 + 9x * 8) 64 + 24x = (-32 + 72x) Solving 64 + 24x = -32 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 64 + 24x + -72x = -32 + 72x + -72x Combine like terms: 24x + -72x = -48x 64 + -48x = -32 + 72x + -72x Combine like terms: 72x + -72x = 0 64 + -48x = -32 + 0 64 + -48x = -32 Add '-64' to each side of the equation. 64 + -64 + -48x = -32 + -64 Combine like terms: 64 + -64 = 0 0 + -48x = -32 + -64 -48x = -32 + -64 Combine like terms: -32 + -64 = -96 -48x = -96 Divide each side by '-48'. x = 2 Simplifying x = 2
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