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Simplifying 7(3 + -2y) + -2(8 + -5x) = x (3 * 7 + -2y * 7) + -2(8 + -5x) = x (21 + -14y) + -2(8 + -5x) = x 21 + -14y + (8 * -2 + -5x * -2) = x 21 + -14y + (-16 + 10x) = x Reorder the terms: 21 + -16 + 10x + -14y = x Combine like terms: 21 + -16 = 5 5 + 10x + -14y = x Solving 5 + 10x + -14y = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 10x + -1x + -14y = x + -1x Combine like terms: 10x + -1x = 9x 5 + 9x + -14y = x + -1x Combine like terms: x + -1x = 0 5 + 9x + -14y = 0 Add '-5' to each side of the equation. 5 + 9x + -5 + -14y = 0 + -5 Reorder the terms: 5 + -5 + 9x + -14y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x + -14y = 0 + -5 9x + -14y = 0 + -5 Combine like terms: 0 + -5 = -5 9x + -14y = -5 Add '14y' to each side of the equation. 9x + -14y + 14y = -5 + 14y Combine like terms: -14y + 14y = 0 9x + 0 = -5 + 14y 9x = -5 + 14y Divide each side by '9'. x = -0.5555555556 + 1.555555556y Simplifying x = -0.5555555556 + 1.555555556y
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