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Simplifying 4y + 9 + -2(3 + -1x) = 7 + 5(2x + -1) 4y + 9 + (3 * -2 + -1x * -2) = 7 + 5(2x + -1) 4y + 9 + (-6 + 2x) = 7 + 5(2x + -1) Reorder the terms: 9 + -6 + 2x + 4y = 7 + 5(2x + -1) Combine like terms: 9 + -6 = 3 3 + 2x + 4y = 7 + 5(2x + -1) Reorder the terms: 3 + 2x + 4y = 7 + 5(-1 + 2x) 3 + 2x + 4y = 7 + (-1 * 5 + 2x * 5) 3 + 2x + 4y = 7 + (-5 + 10x) Combine like terms: 7 + -5 = 2 3 + 2x + 4y = 2 + 10x Solving 3 + 2x + 4y = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 2x + -10x + 4y = 2 + 10x + -10x Combine like terms: 2x + -10x = -8x 3 + -8x + 4y = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -8x + 4y = 2 + 0 3 + -8x + 4y = 2 Add '-3' to each side of the equation. 3 + -8x + -3 + 4y = 2 + -3 Reorder the terms: 3 + -3 + -8x + 4y = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -8x + 4y = 2 + -3 -8x + 4y = 2 + -3 Combine like terms: 2 + -3 = -1 -8x + 4y = -1 Add '-4y' to each side of the equation. -8x + 4y + -4y = -1 + -4y Combine like terms: 4y + -4y = 0 -8x + 0 = -1 + -4y -8x = -1 + -4y Divide each side by '-8'. x = 0.125 + 0.5y Simplifying x = 0.125 + 0.5y
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