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Simplifying 3(2x + -6) = 2(7x + -4) Reorder the terms: 3(-6 + 2x) = 2(7x + -4) (-6 * 3 + 2x * 3) = 2(7x + -4) (-18 + 6x) = 2(7x + -4) Reorder the terms: -18 + 6x = 2(-4 + 7x) -18 + 6x = (-4 * 2 + 7x * 2) -18 + 6x = (-8 + 14x) Solving -18 + 6x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 6x + -14x = -8 + 14x + -14x Combine like terms: 6x + -14x = -8x -18 + -8x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + -8x = -8 + 0 -18 + -8x = -8 Add '18' to each side of the equation. -18 + 18 + -8x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -8 + 18 -8x = -8 + 18 Combine like terms: -8 + 18 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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