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Simplifying 9x + 5(2x + 11) = 3(x + 21) Reorder the terms: 9x + 5(11 + 2x) = 3(x + 21) 9x + (11 * 5 + 2x * 5) = 3(x + 21) 9x + (55 + 10x) = 3(x + 21) Reorder the terms: 55 + 9x + 10x = 3(x + 21) Combine like terms: 9x + 10x = 19x 55 + 19x = 3(x + 21) Reorder the terms: 55 + 19x = 3(21 + x) 55 + 19x = (21 * 3 + x * 3) 55 + 19x = (63 + 3x) Solving 55 + 19x = 63 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 55 + 19x + -3x = 63 + 3x + -3x Combine like terms: 19x + -3x = 16x 55 + 16x = 63 + 3x + -3x Combine like terms: 3x + -3x = 0 55 + 16x = 63 + 0 55 + 16x = 63 Add '-55' to each side of the equation. 55 + -55 + 16x = 63 + -55 Combine like terms: 55 + -55 = 0 0 + 16x = 63 + -55 16x = 63 + -55 Combine like terms: 63 + -55 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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