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Simplifying 78 + -1(3x + 14) = 3(x + 5) + x Reorder the terms: 78 + -1(14 + 3x) = 3(x + 5) + x 78 + (14 * -1 + 3x * -1) = 3(x + 5) + x 78 + (-14 + -3x) = 3(x + 5) + x Combine like terms: 78 + -14 = 64 64 + -3x = 3(x + 5) + x Reorder the terms: 64 + -3x = 3(5 + x) + x 64 + -3x = (5 * 3 + x * 3) + x 64 + -3x = (15 + 3x) + x Combine like terms: 3x + x = 4x 64 + -3x = 15 + 4x Solving 64 + -3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 64 + -3x + -4x = 15 + 4x + -4x Combine like terms: -3x + -4x = -7x 64 + -7x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 64 + -7x = 15 + 0 64 + -7x = 15 Add '-64' to each side of the equation. 64 + -64 + -7x = 15 + -64 Combine like terms: 64 + -64 = 0 0 + -7x = 15 + -64 -7x = 15 + -64 Combine like terms: 15 + -64 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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