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Simplifying 78 = 4(2x + 3) + -2(7 + -6x) Reorder the terms: 78 = 4(3 + 2x) + -2(7 + -6x) 78 = (3 * 4 + 2x * 4) + -2(7 + -6x) 78 = (12 + 8x) + -2(7 + -6x) 78 = 12 + 8x + (7 * -2 + -6x * -2) 78 = 12 + 8x + (-14 + 12x) Reorder the terms: 78 = 12 + -14 + 8x + 12x Combine like terms: 12 + -14 = -2 78 = -2 + 8x + 12x Combine like terms: 8x + 12x = 20x 78 = -2 + 20x Solving 78 = -2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 78 + -20x = -2 + 20x + -20x Combine like terms: 20x + -20x = 0 78 + -20x = -2 + 0 78 + -20x = -2 Add '-78' to each side of the equation. 78 + -78 + -20x = -2 + -78 Combine like terms: 78 + -78 = 0 0 + -20x = -2 + -78 -20x = -2 + -78 Combine like terms: -2 + -78 = -80 -20x = -80 Divide each side by '-20'. x = 4 Simplifying x = 4
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