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Simplifying 10x + 0.25(4x + 16) + 2(6 + -5x) = 2(9 + -1y) + 2y Reorder the terms: 10x + 0.25(16 + 4x) + 2(6 + -5x) = 2(9 + -1y) + 2y 10x + (16 * 0.25 + 4x * 0.25) + 2(6 + -5x) = 2(9 + -1y) + 2y 10x + (4 + 1x) + 2(6 + -5x) = 2(9 + -1y) + 2y 10x + 4 + 1x + (6 * 2 + -5x * 2) = 2(9 + -1y) + 2y 10x + 4 + 1x + (12 + -10x) = 2(9 + -1y) + 2y Reorder the terms: 4 + 12 + 10x + 1x + -10x = 2(9 + -1y) + 2y Combine like terms: 4 + 12 = 16 16 + 10x + 1x + -10x = 2(9 + -1y) + 2y Combine like terms: 10x + 1x = 11x 16 + 11x + -10x = 2(9 + -1y) + 2y Combine like terms: 11x + -10x = 1x 16 + 1x = 2(9 + -1y) + 2y 16 + 1x = (9 * 2 + -1y * 2) + 2y 16 + 1x = (18 + -2y) + 2y Combine like terms: -2y + 2y = 0 16 + 1x = 18 + 0 16 + 1x = 18 Solving 16 + 1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 18 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 18 + -16 1x = 18 + -16 Combine like terms: 18 + -16 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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