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Simplifying 8(9x + -8) = 8(3x + 10) Reorder the terms: 8(-8 + 9x) = 8(3x + 10) (-8 * 8 + 9x * 8) = 8(3x + 10) (-64 + 72x) = 8(3x + 10) Reorder the terms: -64 + 72x = 8(10 + 3x) -64 + 72x = (10 * 8 + 3x * 8) -64 + 72x = (80 + 24x) Solving -64 + 72x = 80 + 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. -64 + 72x + -24x = 80 + 24x + -24x Combine like terms: 72x + -24x = 48x -64 + 48x = 80 + 24x + -24x Combine like terms: 24x + -24x = 0 -64 + 48x = 80 + 0 -64 + 48x = 80 Add '64' to each side of the equation. -64 + 64 + 48x = 80 + 64 Combine like terms: -64 + 64 = 0 0 + 48x = 80 + 64 48x = 80 + 64 Combine like terms: 80 + 64 = 144 48x = 144 Divide each side by '48'. x = 3 Simplifying x = 3
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