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Simplifying -3x + 15 = -6(x + -5) Reorder the terms: 15 + -3x = -6(x + -5) Reorder the terms: 15 + -3x = -6(-5 + x) 15 + -3x = (-5 * -6 + x * -6) 15 + -3x = (30 + -6x) Solving 15 + -3x = 30 + -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 = 30 + -6x + 6x Combine like terms: -3x + 6x = 3x 15 + 3x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 3x = 30 + 0 15 + 3x = 30 Add '-15' to each side of the equation. 15 + -15 + 3x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 30 + -15 3x = 30 + -15 Combine like terms: 30 + -15 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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