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Simplifying 4(7x + -23) = 4 + -1(x + 5) Reorder the terms: 4(-23 + 7x) = 4 + -1(x + 5) (-23 * 4 + 7x * 4) = 4 + -1(x + 5) (-92 + 28x) = 4 + -1(x + 5) Reorder the terms: -92 + 28x = 4 + -1(5 + x) -92 + 28x = 4 + (5 * -1 + x * -1) -92 + 28x = 4 + (-5 + -1x) Combine like terms: 4 + -5 = -1 -92 + 28x = -1 + -1x Solving -92 + 28x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -92 + 28x + x = -1 + -1x + x Combine like terms: 28x + x = 29x -92 + 29x = -1 + -1x + x Combine like terms: -1x + x = 0 -92 + 29x = -1 + 0 -92 + 29x = -1 Add '92' to each side of the equation. -92 + 92 + 29x = -1 + 92 Combine like terms: -92 + 92 = 0 0 + 29x = -1 + 92 29x = -1 + 92 Combine like terms: -1 + 92 = 91 29x = 91 Divide each side by '29'. x = 3.137931034 Simplifying x = 3.137931034
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