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Simplifying 4(x + 9) = 5(x + -2) Reorder the terms: 4(9 + x) = 5(x + -2) (9 * 4 + x * 4) = 5(x + -2) (36 + 4x) = 5(x + -2) Reorder the terms: 36 + 4x = 5(-2 + x) 36 + 4x = (-2 * 5 + x * 5) 36 + 4x = (-10 + 5x) Solving 36 + 4x = -10 + 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. 36 + 4x + -5x = -10 + 5x + -5x Combine like terms: 4x + -5x = -1x 36 + -1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + -1x = -10 + 0 36 + -1x = -10 Add '-36' to each side of the equation. 36 + -36 + -1x = -10 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = -10 + -36 -1x = -10 + -36 Combine like terms: -10 + -36 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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