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Simplifying 3(x + 5) + -3x = 6x + -5(x + -2) Reorder the terms: 3(5 + x) + -3x = 6x + -5(x + -2) (5 * 3 + x * 3) + -3x = 6x + -5(x + -2) (15 + 3x) + -3x = 6x + -5(x + -2) Combine like terms: 3x + -3x = 0 15 + 0 = 6x + -5(x + -2) 15 = 6x + -5(x + -2) Reorder the terms: 15 = 6x + -5(-2 + x) 15 = 6x + (-2 * -5 + x * -5) 15 = 6x + (10 + -5x) Reorder the terms: 15 = 10 + 6x + -5x Combine like terms: 6x + -5x = 1x 15 = 10 + 1x Solving 15 = 10 + 1x 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. 15 + -1x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -1x = 10 + 0 15 + -1x = 10 Add '-15' to each side of the equation. 15 + -15 + -1x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 10 + -15 -1x = 10 + -15 Combine like terms: 10 + -15 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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