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Simplifying 5(-6x + 8) = 24 + 2x Reorder the terms: 5(8 + -6x) = 24 + 2x (8 * 5 + -6x * 5) = 24 + 2x (40 + -30x) = 24 + 2x Solving 40 + -30x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + -30x + -2x = 24 + 2x + -2x Combine like terms: -30x + -2x = -32x 40 + -32x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + -32x = 24 + 0 40 + -32x = 24 Add '-40' to each side of the equation. 40 + -40 + -32x = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -32x = 24 + -40 -32x = 24 + -40 Combine like terms: 24 + -40 = -16 -32x = -16 Divide each side by '-32'. x = 0.5 Simplifying x = 0.5
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