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Simplifying -8(4x + 7) = 5(x + 6) + -2 Reorder the terms: -8(7 + 4x) = 5(x + 6) + -2 (7 * -8 + 4x * -8) = 5(x + 6) + -2 (-56 + -32x) = 5(x + 6) + -2 Reorder the terms: -56 + -32x = 5(6 + x) + -2 -56 + -32x = (6 * 5 + x * 5) + -2 -56 + -32x = (30 + 5x) + -2 Reorder the terms: -56 + -32x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 -56 + -32x = 28 + 5x Solving -56 + -32x = 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. -56 + -32x + -5x = 28 + 5x + -5x Combine like terms: -32x + -5x = -37x -56 + -37x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + -37x = 28 + 0 -56 + -37x = 28 Add '56' to each side of the equation. -56 + 56 + -37x = 28 + 56 Combine like terms: -56 + 56 = 0 0 + -37x = 28 + 56 -37x = 28 + 56 Combine like terms: 28 + 56 = 84 -37x = 84 Divide each side by '-37'. x = -2.27027027 Simplifying x = -2.27027027
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