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Simplifying 15 + -30 = 6x + -1(x + 5) Combine like terms: 15 + -30 = -15 -15 = 6x + -1(x + 5) Reorder the terms: -15 = 6x + -1(5 + x) -15 = 6x + (5 * -1 + x * -1) -15 = 6x + (-5 + -1x) Reorder the terms: -15 = -5 + 6x + -1x Combine like terms: 6x + -1x = 5x -15 = -5 + 5x Solving -15 = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -5x = -5 + 0 -15 + -5x = -5 Add '15' to each side of the equation. -15 + 15 + -5x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -5 + 15 -5x = -5 + 15 Combine like terms: -5 + 15 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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