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Simplifying 5(x + 3) * 2 + 5(y + 5) * 2 = 70 Reorder the terms: 5(3 + x) * 2 + 5(y + 5) * 2 = 70 Reorder the terms for easier multiplication: 5 * 2(3 + x) + 5(y + 5) * 2 = 70 Multiply 5 * 2 10(3 + x) + 5(y + 5) * 2 = 70 (3 * 10 + x * 10) + 5(y + 5) * 2 = 70 (30 + 10x) + 5(y + 5) * 2 = 70 Reorder the terms: 30 + 10x + 5(5 + y) * 2 = 70 Reorder the terms for easier multiplication: 30 + 10x + 5 * 2(5 + y) = 70 Multiply 5 * 2 30 + 10x + 10(5 + y) = 70 30 + 10x + (5 * 10 + y * 10) = 70 30 + 10x + (50 + 10y) = 70 Reorder the terms: 30 + 50 + 10x + 10y = 70 Combine like terms: 30 + 50 = 80 80 + 10x + 10y = 70 Solving 80 + 10x + 10y = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + 10x + -80 + 10y = 70 + -80 Reorder the terms: 80 + -80 + 10x + 10y = 70 + -80 Combine like terms: 80 + -80 = 0 0 + 10x + 10y = 70 + -80 10x + 10y = 70 + -80 Combine like terms: 70 + -80 = -10 10x + 10y = -10 Add '-10y' to each side of the equation. 10x + 10y + -10y = -10 + -10y Combine like terms: 10y + -10y = 0 10x + 0 = -10 + -10y 10x = -10 + -10y Divide each side by '10'. x = -1 + -1y Simplifying x = -1 + -1y
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