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Simplifying 5(x + -9) + 46 = 4(x + 9) Reorder the terms: 5(-9 + x) + 46 = 4(x + 9) (-9 * 5 + x * 5) + 46 = 4(x + 9) (-45 + 5x) + 46 = 4(x + 9) Reorder the terms: -45 + 46 + 5x = 4(x + 9) Combine like terms: -45 + 46 = 1 1 + 5x = 4(x + 9) Reorder the terms: 1 + 5x = 4(9 + x) 1 + 5x = (9 * 4 + x * 4) 1 + 5x = (36 + 4x) Solving 1 + 5x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5x + -4x = 36 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = 36 + 0 1 + 1x = 36 Add '-1' to each side of the equation. 1 + -1 + 1x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 36 + -1 1x = 36 + -1 Combine like terms: 36 + -1 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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