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Simplifying 5(x + 6) + -2x = (x + 10) Reorder the terms: 5(6 + x) + -2x = (x + 10) (6 * 5 + x * 5) + -2x = (x + 10) (30 + 5x) + -2x = (x + 10) Combine like terms: 5x + -2x = 3x 30 + 3x = (x + 10) Reorder the terms: 30 + 3x = (10 + x) Remove parenthesis around (10 + x) 30 + 3x = 10 + x Solving 30 + 3x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 3x + -1x = 10 + x + -1x Combine like terms: 3x + -1x = 2x 30 + 2x = 10 + x + -1x Combine like terms: x + -1x = 0 30 + 2x = 10 + 0 30 + 2x = 10 Add '-30' to each side of the equation. 30 + -30 + 2x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 10 + -30 2x = 10 + -30 Combine like terms: 10 + -30 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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