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Simplifying 2(3x + -6) = 7(4 + -2x) Reorder the terms: 2(-6 + 3x) = 7(4 + -2x) (-6 * 2 + 3x * 2) = 7(4 + -2x) (-12 + 6x) = 7(4 + -2x) -12 + 6x = (4 * 7 + -2x * 7) -12 + 6x = (28 + -14x) Solving -12 + 6x = 28 + -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. -12 + 6x + 14x = 28 + -14x + 14x Combine like terms: 6x + 14x = 20x -12 + 20x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 -12 + 20x = 28 + 0 -12 + 20x = 28 Add '12' to each side of the equation. -12 + 12 + 20x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 28 + 12 20x = 28 + 12 Combine like terms: 28 + 12 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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