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Simplifying 3(x + 5) + -6x = -6(x + -3) Reorder the terms: 3(5 + x) + -6x = -6(x + -3) (5 * 3 + x * 3) + -6x = -6(x + -3) (15 + 3x) + -6x = -6(x + -3) Combine like terms: 3x + -6x = -3x 15 + -3x = -6(x + -3) Reorder the terms: 15 + -3x = -6(-3 + x) 15 + -3x = (-3 * -6 + x * -6) 15 + -3x = (18 + -6x) Solving 15 + -3x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + -3x + 6x = 18 + -6x + 6x Combine like terms: -3x + 6x = 3x 15 + 3x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 3x = 18 + 0 15 + 3x = 18 Add '-15' to each side of the equation. 15 + -15 + 3x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 18 + -15 3x = 18 + -15 Combine like terms: 18 + -15 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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