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Simplifying 3(2x + 8) = 10(3x + 8) Reorder the terms: 3(8 + 2x) = 10(3x + 8) (8 * 3 + 2x * 3) = 10(3x + 8) (24 + 6x) = 10(3x + 8) Reorder the terms: 24 + 6x = 10(8 + 3x) 24 + 6x = (8 * 10 + 3x * 10) 24 + 6x = (80 + 30x) Solving 24 + 6x = 80 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 24 + 6x + -30x = 80 + 30x + -30x Combine like terms: 6x + -30x = -24x 24 + -24x = 80 + 30x + -30x Combine like terms: 30x + -30x = 0 24 + -24x = 80 + 0 24 + -24x = 80 Add '-24' to each side of the equation. 24 + -24 + -24x = 80 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = 80 + -24 -24x = 80 + -24 Combine like terms: 80 + -24 = 56 -24x = 56 Divide each side by '-24'. x = -2.333333333 Simplifying x = -2.333333333
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