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Simplifying 3(2x + -4) = 2(4x + 7) Reorder the terms: 3(-4 + 2x) = 2(4x + 7) (-4 * 3 + 2x * 3) = 2(4x + 7) (-12 + 6x) = 2(4x + 7) Reorder the terms: -12 + 6x = 2(7 + 4x) -12 + 6x = (7 * 2 + 4x * 2) -12 + 6x = (14 + 8x) Solving -12 + 6x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 6x + -8x = 14 + 8x + -8x Combine like terms: 6x + -8x = -2x -12 + -2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -2x = 14 + 0 -12 + -2x = 14 Add '12' to each side of the equation. -12 + 12 + -2x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 14 + 12 -2x = 14 + 12 Combine like terms: 14 + 12 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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