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Simplifying 7 + -3(x + 1) = 5x + 14 + -1(x + 12) Reorder the terms: 7 + -3(1 + x) = 5x + 14 + -1(x + 12) 7 + (1 * -3 + x * -3) = 5x + 14 + -1(x + 12) 7 + (-3 + -3x) = 5x + 14 + -1(x + 12) Combine like terms: 7 + -3 = 4 4 + -3x = 5x + 14 + -1(x + 12) Reorder the terms: 4 + -3x = 5x + 14 + -1(12 + x) 4 + -3x = 5x + 14 + (12 * -1 + x * -1) 4 + -3x = 5x + 14 + (-12 + -1x) Reorder the terms: 4 + -3x = 14 + -12 + 5x + -1x Combine like terms: 14 + -12 = 2 4 + -3x = 2 + 5x + -1x Combine like terms: 5x + -1x = 4x 4 + -3x = 2 + 4x Solving 4 + -3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -3x + -4x = 2 + 4x + -4x Combine like terms: -3x + -4x = -7x 4 + -7x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -7x = 2 + 0 4 + -7x = 2 Add '-4' to each side of the equation. 4 + -4 + -7x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 2 + -4 -7x = 2 + -4 Combine like terms: 2 + -4 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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