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Simplifying 3(2x + -6) = 2(x + -5) Reorder the terms: 3(-6 + 2x) = 2(x + -5) (-6 * 3 + 2x * 3) = 2(x + -5) (-18 + 6x) = 2(x + -5) Reorder the terms: -18 + 6x = 2(-5 + x) -18 + 6x = (-5 * 2 + x * 2) -18 + 6x = (-10 + 2x) Solving -18 + 6x = -10 + 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. -18 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = -10 + 0 -18 + 4x = -10 Add '18' to each side of the equation. -18 + 18 + 4x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -10 + 18 4x = -10 + 18 Combine like terms: -10 + 18 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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