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Simplifying 71 + -1(4x + 7) = 4(x + -7) + x Reorder the terms: 71 + -1(7 + 4x) = 4(x + -7) + x 71 + (7 * -1 + 4x * -1) = 4(x + -7) + x 71 + (-7 + -4x) = 4(x + -7) + x Combine like terms: 71 + -7 = 64 64 + -4x = 4(x + -7) + x Reorder the terms: 64 + -4x = 4(-7 + x) + x 64 + -4x = (-7 * 4 + x * 4) + x 64 + -4x = (-28 + 4x) + x Combine like terms: 4x + x = 5x 64 + -4x = -28 + 5x Solving 64 + -4x = -28 + 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. 64 + -4x + -5x = -28 + 5x + -5x Combine like terms: -4x + -5x = -9x 64 + -9x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 64 + -9x = -28 + 0 64 + -9x = -28 Add '-64' to each side of the equation. 64 + -64 + -9x = -28 + -64 Combine like terms: 64 + -64 = 0 0 + -9x = -28 + -64 -9x = -28 + -64 Combine like terms: -28 + -64 = -92 -9x = -92 Divide each side by '-9'. x = 10.22222222 Simplifying x = 10.22222222
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