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Simplifying 5(2 + -1x) = 3(x + 6) (2 * 5 + -1x * 5) = 3(x + 6) (10 + -5x) = 3(x + 6) Reorder the terms: 10 + -5x = 3(6 + x) 10 + -5x = (6 * 3 + x * 3) 10 + -5x = (18 + 3x) Solving 10 + -5x = 18 + 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. 10 + -5x + -3x = 18 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -8x = 18 + 0 10 + -8x = 18 Add '-10' to each side of the equation. 10 + -10 + -8x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 18 + -10 -8x = 18 + -10 Combine like terms: 18 + -10 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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