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Simplifying 8 + -1(4x + 7) = 5(x + 6) + -2 Reorder the terms: 8 + -1(7 + 4x) = 5(x + 6) + -2 8 + (7 * -1 + 4x * -1) = 5(x + 6) + -2 8 + (-7 + -4x) = 5(x + 6) + -2 Combine like terms: 8 + -7 = 1 1 + -4x = 5(x + 6) + -2 Reorder the terms: 1 + -4x = 5(6 + x) + -2 1 + -4x = (6 * 5 + x * 5) + -2 1 + -4x = (30 + 5x) + -2 Reorder the terms: 1 + -4x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 1 + -4x = 28 + 5x Solving 1 + -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. 1 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 1 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -9x = 28 + 0 1 + -9x = 28 Add '-1' to each side of the equation. 1 + -1 + -9x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 28 + -1 -9x = 28 + -1 Combine like terms: 28 + -1 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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