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Simplifying -5x + 46 = 5 + 9(8x + -4) Reorder the terms: 46 + -5x = 5 + 9(8x + -4) Reorder the terms: 46 + -5x = 5 + 9(-4 + 8x) 46 + -5x = 5 + (-4 * 9 + 8x * 9) 46 + -5x = 5 + (-36 + 72x) Combine like terms: 5 + -36 = -31 46 + -5x = -31 + 72x Solving 46 + -5x = -31 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 46 + -5x + -72x = -31 + 72x + -72x Combine like terms: -5x + -72x = -77x 46 + -77x = -31 + 72x + -72x Combine like terms: 72x + -72x = 0 46 + -77x = -31 + 0 46 + -77x = -31 Add '-46' to each side of the equation. 46 + -46 + -77x = -31 + -46 Combine like terms: 46 + -46 = 0 0 + -77x = -31 + -46 -77x = -31 + -46 Combine like terms: -31 + -46 = -77 -77x = -77 Divide each side by '-77'. x = 1 Simplifying x = 1
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