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Simplifying 5(2 + x) + -8y = (10 + -1Y) + -24 (2 * 5 + x * 5) + -8y = (10 + -1Y) + -24 (10 + 5x) + -8y = (10 + -1Y) + -24 Remove parenthesis around (10 + -1Y) 10 + 5x + -8y = 10 + -1Y + -24 Reorder the terms: 10 + 5x + -8y = 10 + -24 + -1Y Combine like terms: 10 + -24 = -14 10 + 5x + -8y = -14 + -1Y Solving 10 + 5x + -8y = -14 + -1Y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5x + -10 + -8y = -14 + -10 + -1Y Reorder the terms: 10 + -10 + 5x + -8y = -14 + -10 + -1Y Combine like terms: 10 + -10 = 0 0 + 5x + -8y = -14 + -10 + -1Y 5x + -8y = -14 + -10 + -1Y Combine like terms: -14 + -10 = -24 5x + -8y = -24 + -1Y Add '8y' to each side of the equation. 5x + -8y + 8y = -24 + -1Y + 8y Combine like terms: -8y + 8y = 0 5x + 0 = -24 + -1Y + 8y 5x = -24 + -1Y + 8y Divide each side by '5'. x = -4.8 + -0.2Y + 1.6y Simplifying x = -4.8 + -0.2Y + 1.6y
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