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Simplifying 27 + -2x = 5(3 + 2x) 27 + -2x = (3 * 5 + 2x * 5) 27 + -2x = (15 + 10x) Solving 27 + -2x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + -2x + -10x = 15 + 10x + -10x Combine like terms: -2x + -10x = -12x 27 + -12x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -12x = 15 + 0 27 + -12x = 15 Add '-27' to each side of the equation. 27 + -27 + -12x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -12x = 15 + -27 -12x = 15 + -27 Combine like terms: 15 + -27 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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