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Simplifying 5(x + 3) = 3[14 + -2(3 + -1x) + 10] Reorder the terms: 5(3 + x) = 3[14 + -2(3 + -1x) + 10] (3 * 5 + x * 5) = 3[14 + -2(3 + -1x) + 10] (15 + 5x) = 3[14 + -2(3 + -1x) + 10] 15 + 5x = 3[14 + (3 * -2 + -1x * -2) + 10] 15 + 5x = 3[14 + (-6 + 2x) + 10] Reorder the terms: 15 + 5x = 3[14 + -6 + 10 + 2x] Combine like terms: 14 + -6 = 8 15 + 5x = 3[8 + 10 + 2x] Combine like terms: 8 + 10 = 18 15 + 5x = 3[18 + 2x] 15 + 5x = [18 * 3 + 2x * 3] 15 + 5x = [54 + 6x] Solving 15 + 5x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 5x + -6x = 54 + 6x + -6x Combine like terms: 5x + -6x = -1x 15 + -1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -1x = 54 + 0 15 + -1x = 54 Add '-15' to each side of the equation. 15 + -15 + -1x = 54 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 54 + -15 -1x = 54 + -15 Combine like terms: 54 + -15 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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