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Simplifying 14 + -3(5x + -12) = 1 + -1(20x + 1) Reorder the terms: 14 + -3(-12 + 5x) = 1 + -1(20x + 1) 14 + (-12 * -3 + 5x * -3) = 1 + -1(20x + 1) 14 + (36 + -15x) = 1 + -1(20x + 1) Combine like terms: 14 + 36 = 50 50 + -15x = 1 + -1(20x + 1) Reorder the terms: 50 + -15x = 1 + -1(1 + 20x) 50 + -15x = 1 + (1 * -1 + 20x * -1) 50 + -15x = 1 + (-1 + -20x) Combine like terms: 1 + -1 = 0 50 + -15x = 0 + -20x 50 + -15x = -20x Solving 50 + -15x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 50 + -15x + 20x = -20x + 20x Combine like terms: -15x + 20x = 5x 50 + 5x = -20x + 20x Combine like terms: -20x + 20x = 0 50 + 5x = 0 Add '-50' to each side of the equation. 50 + -50 + 5x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 0 + -50 5x = 0 + -50 Combine like terms: 0 + -50 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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