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Simplifying -2(-7 + 4x) + 4(-3x + 6) = 78 (-7 * -2 + 4x * -2) + 4(-3x + 6) = 78 (14 + -8x) + 4(-3x + 6) = 78 Reorder the terms: 14 + -8x + 4(6 + -3x) = 78 14 + -8x + (6 * 4 + -3x * 4) = 78 14 + -8x + (24 + -12x) = 78 Reorder the terms: 14 + 24 + -8x + -12x = 78 Combine like terms: 14 + 24 = 38 38 + -8x + -12x = 78 Combine like terms: -8x + -12x = -20x 38 + -20x = 78 Solving 38 + -20x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -20x = 78 + -38 Combine like terms: 38 + -38 = 0 0 + -20x = 78 + -38 -20x = 78 + -38 Combine like terms: 78 + -38 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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