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Simplifying 4(2x + 9) + 5(x + 5) = 4x + 5 Reorder the terms: 4(9 + 2x) + 5(x + 5) = 4x + 5 (9 * 4 + 2x * 4) + 5(x + 5) = 4x + 5 (36 + 8x) + 5(x + 5) = 4x + 5 Reorder the terms: 36 + 8x + 5(5 + x) = 4x + 5 36 + 8x + (5 * 5 + x * 5) = 4x + 5 36 + 8x + (25 + 5x) = 4x + 5 Reorder the terms: 36 + 25 + 8x + 5x = 4x + 5 Combine like terms: 36 + 25 = 61 61 + 8x + 5x = 4x + 5 Combine like terms: 8x + 5x = 13x 61 + 13x = 4x + 5 Reorder the terms: 61 + 13x = 5 + 4x Solving 61 + 13x = 5 + 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. 61 + 13x + -4x = 5 + 4x + -4x Combine like terms: 13x + -4x = 9x 61 + 9x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 61 + 9x = 5 + 0 61 + 9x = 5 Add '-61' to each side of the equation. 61 + -61 + 9x = 5 + -61 Combine like terms: 61 + -61 = 0 0 + 9x = 5 + -61 9x = 5 + -61 Combine like terms: 5 + -61 = -56 9x = -56 Divide each side by '9'. x = -6.222222222 Simplifying x = -6.222222222
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