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Simplifying -5(1 + 4x) = 8(x + 2) + 7 (1 * -5 + 4x * -5) = 8(x + 2) + 7 (-5 + -20x) = 8(x + 2) + 7 Reorder the terms: -5 + -20x = 8(2 + x) + 7 -5 + -20x = (2 * 8 + x * 8) + 7 -5 + -20x = (16 + 8x) + 7 Reorder the terms: -5 + -20x = 16 + 7 + 8x Combine like terms: 16 + 7 = 23 -5 + -20x = 23 + 8x Solving -5 + -20x = 23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -20x + -8x = 23 + 8x + -8x Combine like terms: -20x + -8x = -28x -5 + -28x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -28x = 23 + 0 -5 + -28x = 23 Add '5' to each side of the equation. -5 + 5 + -28x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + -28x = 23 + 5 -28x = 23 + 5 Combine like terms: 23 + 5 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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