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Simplifying 90 + -1(4x + 9) = 4(x + 9) + x Reorder the terms: 90 + -1(9 + 4x) = 4(x + 9) + x 90 + (9 * -1 + 4x * -1) = 4(x + 9) + x 90 + (-9 + -4x) = 4(x + 9) + x Combine like terms: 90 + -9 = 81 81 + -4x = 4(x + 9) + x Reorder the terms: 81 + -4x = 4(9 + x) + x 81 + -4x = (9 * 4 + x * 4) + x 81 + -4x = (36 + 4x) + x Combine like terms: 4x + x = 5x 81 + -4x = 36 + 5x Solving 81 + -4x = 36 + 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. 81 + -4x + -5x = 36 + 5x + -5x Combine like terms: -4x + -5x = -9x 81 + -9x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 81 + -9x = 36 + 0 81 + -9x = 36 Add '-81' to each side of the equation. 81 + -81 + -9x = 36 + -81 Combine like terms: 81 + -81 = 0 0 + -9x = 36 + -81 -9x = 36 + -81 Combine like terms: 36 + -81 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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