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Simplifying 14 = 4(x + -4) + -1(x + -6) Reorder the terms: 14 = 4(-4 + x) + -1(x + -6) 14 = (-4 * 4 + x * 4) + -1(x + -6) 14 = (-16 + 4x) + -1(x + -6) Reorder the terms: 14 = -16 + 4x + -1(-6 + x) 14 = -16 + 4x + (-6 * -1 + x * -1) 14 = -16 + 4x + (6 + -1x) Reorder the terms: 14 = -16 + 6 + 4x + -1x Combine like terms: -16 + 6 = -10 14 = -10 + 4x + -1x Combine like terms: 4x + -1x = 3x 14 = -10 + 3x Solving 14 = -10 + 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 = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -3x = -10 + 0 14 + -3x = -10 Add '-14' to each side of the equation. 14 + -14 + -3x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -10 + -14 -3x = -10 + -14 Combine like terms: -10 + -14 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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