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Simplifying 79 + -1(4x + 8) = 4(x + 2) + x Reorder the terms: 79 + -1(8 + 4x) = 4(x + 2) + x 79 + (8 * -1 + 4x * -1) = 4(x + 2) + x 79 + (-8 + -4x) = 4(x + 2) + x Combine like terms: 79 + -8 = 71 71 + -4x = 4(x + 2) + x Reorder the terms: 71 + -4x = 4(2 + x) + x 71 + -4x = (2 * 4 + x * 4) + x 71 + -4x = (8 + 4x) + x Combine like terms: 4x + x = 5x 71 + -4x = 8 + 5x Solving 71 + -4x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 71 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 71 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 71 + -9x = 8 + 0 71 + -9x = 8 Add '-71' to each side of the equation. 71 + -71 + -9x = 8 + -71 Combine like terms: 71 + -71 = 0 0 + -9x = 8 + -71 -9x = 8 + -71 Combine like terms: 8 + -71 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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