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Simplifying 14 = 4(x + -2) + -1(x + -7) Reorder the terms: 14 = 4(-2 + x) + -1(x + -7) 14 = (-2 * 4 + x * 4) + -1(x + -7) 14 = (-8 + 4x) + -1(x + -7) Reorder the terms: 14 = -8 + 4x + -1(-7 + x) 14 = -8 + 4x + (-7 * -1 + x * -1) 14 = -8 + 4x + (7 + -1x) Reorder the terms: 14 = -8 + 7 + 4x + -1x Combine like terms: -8 + 7 = -1 14 = -1 + 4x + -1x Combine like terms: 4x + -1x = 3x 14 = -1 + 3x Solving 14 = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -3x = -1 + 0 14 + -3x = -1 Add '-14' to each side of the equation. 14 + -14 + -3x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -1 + -14 -3x = -1 + -14 Combine like terms: -1 + -14 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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