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Simplifying 5(x + -6) = 2(x + -3) Reorder the terms: 5(-6 + x) = 2(x + -3) (-6 * 5 + x * 5) = 2(x + -3) (-30 + 5x) = 2(x + -3) Reorder the terms: -30 + 5x = 2(-3 + x) -30 + 5x = (-3 * 2 + x * 2) -30 + 5x = (-6 + 2x) Solving -30 + 5x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x -30 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 3x = -6 + 0 -30 + 3x = -6 Add '30' to each side of the equation. -30 + 30 + 3x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -6 + 30 3x = -6 + 30 Combine like terms: -6 + 30 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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