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Simplifying 14 = 3(x + -1) + -1(x + -7) Reorder the terms: 14 = 3(-1 + x) + -1(x + -7) 14 = (-1 * 3 + x * 3) + -1(x + -7) 14 = (-3 + 3x) + -1(x + -7) Reorder the terms: 14 = -3 + 3x + -1(-7 + x) 14 = -3 + 3x + (-7 * -1 + x * -1) 14 = -3 + 3x + (7 + -1x) Reorder the terms: 14 = -3 + 7 + 3x + -1x Combine like terms: -3 + 7 = 4 14 = 4 + 3x + -1x Combine like terms: 3x + -1x = 2x 14 = 4 + 2x Solving 14 = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -2x = 4 + 0 14 + -2x = 4 Add '-14' to each side of the equation. 14 + -14 + -2x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 4 + -14 -2x = 4 + -14 Combine like terms: 4 + -14 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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