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Simplifying 71 + -1(4x + 9) = 4(x + 2) + x Reorder the terms: 71 + -1(9 + 4x) = 4(x + 2) + x 71 + (9 * -1 + 4x * -1) = 4(x + 2) + x 71 + (-9 + -4x) = 4(x + 2) + x Combine like terms: 71 + -9 = 62 62 + -4x = 4(x + 2) + x Reorder the terms: 62 + -4x = 4(2 + x) + x 62 + -4x = (2 * 4 + x * 4) + x 62 + -4x = (8 + 4x) + x Combine like terms: 4x + x = 5x 62 + -4x = 8 + 5x Solving 62 + -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. 62 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 62 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 62 + -9x = 8 + 0 62 + -9x = 8 Add '-62' to each side of the equation. 62 + -62 + -9x = 8 + -62 Combine like terms: 62 + -62 = 0 0 + -9x = 8 + -62 -9x = 8 + -62 Combine like terms: 8 + -62 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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