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Simplifying 10(x + -3) = -5(x + -6) Reorder the terms: 10(-3 + x) = -5(x + -6) (-3 * 10 + x * 10) = -5(x + -6) (-30 + 10x) = -5(x + -6) Reorder the terms: -30 + 10x = -5(-6 + x) -30 + 10x = (-6 * -5 + x * -5) -30 + 10x = (30 + -5x) Solving -30 + 10x = 30 + -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. -30 + 10x + 5x = 30 + -5x + 5x Combine like terms: 10x + 5x = 15x -30 + 15x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 15x = 30 + 0 -30 + 15x = 30 Add '30' to each side of the equation. -30 + 30 + 15x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = 30 + 30 15x = 30 + 30 Combine like terms: 30 + 30 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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