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Simplifying 5(2x + -6) = 15x + -10 Reorder the terms: 5(-6 + 2x) = 15x + -10 (-6 * 5 + 2x * 5) = 15x + -10 (-30 + 10x) = 15x + -10 Reorder the terms: -30 + 10x = -10 + 15x Solving -30 + 10x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -30 + 10x + -15x = -10 + 15x + -15x Combine like terms: 10x + -15x = -5x -30 + -5x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -30 + -5x = -10 + 0 -30 + -5x = -10 Add '30' to each side of the equation. -30 + 30 + -5x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -10 + 30 -5x = -10 + 30 Combine like terms: -10 + 30 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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