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Simplifying 5(3(x + 4) + -2(1 + -1x)) + -1x + -15 = 14x + 45 Reorder the terms: 5(3(4 + x) + -2(1 + -1x)) + -1x + -15 = 14x + 45 5((4 * 3 + x * 3) + -2(1 + -1x)) + -1x + -15 = 14x + 45 5((12 + 3x) + -2(1 + -1x)) + -1x + -15 = 14x + 45 5(12 + 3x + (1 * -2 + -1x * -2)) + -1x + -15 = 14x + 45 5(12 + 3x + (-2 + 2x)) + -1x + -15 = 14x + 45 Reorder the terms: 5(12 + -2 + 3x + 2x) + -1x + -15 = 14x + 45 Combine like terms: 12 + -2 = 10 5(10 + 3x + 2x) + -1x + -15 = 14x + 45 Combine like terms: 3x + 2x = 5x 5(10 + 5x) + -1x + -15 = 14x + 45 (10 * 5 + 5x * 5) + -1x + -15 = 14x + 45 (50 + 25x) + -1x + -15 = 14x + 45 Reorder the terms: 50 + -15 + 25x + -1x = 14x + 45 Combine like terms: 50 + -15 = 35 35 + 25x + -1x = 14x + 45 Combine like terms: 25x + -1x = 24x 35 + 24x = 14x + 45 Reorder the terms: 35 + 24x = 45 + 14x Solving 35 + 24x = 45 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 35 + 24x + -14x = 45 + 14x + -14x Combine like terms: 24x + -14x = 10x 35 + 10x = 45 + 14x + -14x Combine like terms: 14x + -14x = 0 35 + 10x = 45 + 0 35 + 10x = 45 Add '-35' to each side of the equation. 35 + -35 + 10x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = 45 + -35 10x = 45 + -35 Combine like terms: 45 + -35 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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