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Simplifying 8 + -1(4x + 1) = 5(x + 6) + -2 Reorder the terms: 8 + -1(1 + 4x) = 5(x + 6) + -2 8 + (1 * -1 + 4x * -1) = 5(x + 6) + -2 8 + (-1 + -4x) = 5(x + 6) + -2 Combine like terms: 8 + -1 = 7 7 + -4x = 5(x + 6) + -2 Reorder the terms: 7 + -4x = 5(6 + x) + -2 7 + -4x = (6 * 5 + x * 5) + -2 7 + -4x = (30 + 5x) + -2 Reorder the terms: 7 + -4x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 7 + -4x = 28 + 5x Solving 7 + -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. 7 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 7 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -9x = 28 + 0 7 + -9x = 28 Add '-7' to each side of the equation. 7 + -7 + -9x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 28 + -7 -9x = 28 + -7 Combine like terms: 28 + -7 = 21 -9x = 21 Divide each side by '-9'. x = -2.333333333 Simplifying x = -2.333333333
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