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Simplifying 8(x + 3) = 2(x + 12) + 10 Reorder the terms: 8(3 + x) = 2(x + 12) + 10 (3 * 8 + x * 8) = 2(x + 12) + 10 (24 + 8x) = 2(x + 12) + 10 Reorder the terms: 24 + 8x = 2(12 + x) + 10 24 + 8x = (12 * 2 + x * 2) + 10 24 + 8x = (24 + 2x) + 10 Reorder the terms: 24 + 8x = 24 + 10 + 2x Combine like terms: 24 + 10 = 34 24 + 8x = 34 + 2x Solving 24 + 8x = 34 + 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. 24 + 8x + -2x = 34 + 2x + -2x Combine like terms: 8x + -2x = 6x 24 + 6x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 6x = 34 + 0 24 + 6x = 34 Add '-24' to each side of the equation. 24 + -24 + 6x = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 34 + -24 6x = 34 + -24 Combine like terms: 34 + -24 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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