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Simplifying 3(4x + -6) = 2(7x + -10) Reorder the terms: 3(-6 + 4x) = 2(7x + -10) (-6 * 3 + 4x * 3) = 2(7x + -10) (-18 + 12x) = 2(7x + -10) Reorder the terms: -18 + 12x = 2(-10 + 7x) -18 + 12x = (-10 * 2 + 7x * 2) -18 + 12x = (-20 + 14x) Solving -18 + 12x = -20 + 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 + 12x + -14x = -20 + 14x + -14x Combine like terms: 12x + -14x = -2x -18 + -2x = -20 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + -2x = -20 + 0 -18 + -2x = -20 Add '18' to each side of the equation. -18 + 18 + -2x = -20 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -20 + 18 -2x = -20 + 18 Combine like terms: -20 + 18 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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