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Simplifying 3(x + 8) = 14 + -1(x + -6) Reorder the terms: 3(8 + x) = 14 + -1(x + -6) (8 * 3 + x * 3) = 14 + -1(x + -6) (24 + 3x) = 14 + -1(x + -6) Reorder the terms: 24 + 3x = 14 + -1(-6 + x) 24 + 3x = 14 + (-6 * -1 + x * -1) 24 + 3x = 14 + (6 + -1x) Combine like terms: 14 + 6 = 20 24 + 3x = 20 + -1x Solving 24 + 3x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 24 + 3x + x = 20 + -1x + x Combine like terms: 3x + x = 4x 24 + 4x = 20 + -1x + x Combine like terms: -1x + x = 0 24 + 4x = 20 + 0 24 + 4x = 20 Add '-24' to each side of the equation. 24 + -24 + 4x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 20 + -24 4x = 20 + -24 Combine like terms: 20 + -24 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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