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Simplifying 14 + -1(3x + -6) = 5 + (2x + -10) Reorder the terms: 14 + -1(-6 + 3x) = 5 + (2x + -10) 14 + (-6 * -1 + 3x * -1) = 5 + (2x + -10) 14 + (6 + -3x) = 5 + (2x + -10) Combine like terms: 14 + 6 = 20 20 + -3x = 5 + (2x + -10) Reorder the terms: 20 + -3x = 5 + (-10 + 2x) Remove parenthesis around (-10 + 2x) 20 + -3x = 5 + -10 + 2x Combine like terms: 5 + -10 = -5 20 + -3x = -5 + 2x Solving 20 + -3x = -5 + 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. 20 + -3x + -2x = -5 + 2x + -2x Combine like terms: -3x + -2x = -5x 20 + -5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -5x = -5 + 0 20 + -5x = -5 Add '-20' to each side of the equation. 20 + -20 + -5x = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -5 + -20 -5x = -5 + -20 Combine like terms: -5 + -20 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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