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Simplifying 5(2x + -6) = 3(2x + -6) Reorder the terms: 5(-6 + 2x) = 3(2x + -6) (-6 * 5 + 2x * 5) = 3(2x + -6) (-30 + 10x) = 3(2x + -6) Reorder the terms: -30 + 10x = 3(-6 + 2x) -30 + 10x = (-6 * 3 + 2x * 3) -30 + 10x = (-18 + 6x) Solving -30 + 10x = -18 + 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. -30 + 10x + -6x = -18 + 6x + -6x Combine like terms: 10x + -6x = 4x -30 + 4x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 4x = -18 + 0 -30 + 4x = -18 Add '30' to each side of the equation. -30 + 30 + 4x = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = -18 + 30 4x = -18 + 30 Combine like terms: -18 + 30 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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