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Simplifying 78 + -1(5x + 14) = 5(x + 4) + x Reorder the terms: 78 + -1(14 + 5x) = 5(x + 4) + x 78 + (14 * -1 + 5x * -1) = 5(x + 4) + x 78 + (-14 + -5x) = 5(x + 4) + x Combine like terms: 78 + -14 = 64 64 + -5x = 5(x + 4) + x Reorder the terms: 64 + -5x = 5(4 + x) + x 64 + -5x = (4 * 5 + x * 5) + x 64 + -5x = (20 + 5x) + x Combine like terms: 5x + x = 6x 64 + -5x = 20 + 6x Solving 64 + -5x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 64 + -5x + -6x = 20 + 6x + -6x Combine like terms: -5x + -6x = -11x 64 + -11x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 64 + -11x = 20 + 0 64 + -11x = 20 Add '-64' to each side of the equation. 64 + -64 + -11x = 20 + -64 Combine like terms: 64 + -64 = 0 0 + -11x = 20 + -64 -11x = 20 + -64 Combine like terms: 20 + -64 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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