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Simplifying 12(3 + -1x) + -4(3 + -5x) = 7(x + 5) + 17 (3 * 12 + -1x * 12) + -4(3 + -5x) = 7(x + 5) + 17 (36 + -12x) + -4(3 + -5x) = 7(x + 5) + 17 36 + -12x + (3 * -4 + -5x * -4) = 7(x + 5) + 17 36 + -12x + (-12 + 20x) = 7(x + 5) + 17 Reorder the terms: 36 + -12 + -12x + 20x = 7(x + 5) + 17 Combine like terms: 36 + -12 = 24 24 + -12x + 20x = 7(x + 5) + 17 Combine like terms: -12x + 20x = 8x 24 + 8x = 7(x + 5) + 17 Reorder the terms: 24 + 8x = 7(5 + x) + 17 24 + 8x = (5 * 7 + x * 7) + 17 24 + 8x = (35 + 7x) + 17 Reorder the terms: 24 + 8x = 35 + 17 + 7x Combine like terms: 35 + 17 = 52 24 + 8x = 52 + 7x Solving 24 + 8x = 52 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 8x + -7x = 52 + 7x + -7x Combine like terms: 8x + -7x = 1x 24 + 1x = 52 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 1x = 52 + 0 24 + 1x = 52 Add '-24' to each side of the equation. 24 + -24 + 1x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 52 + -24 1x = 52 + -24 Combine like terms: 52 + -24 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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