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Simplifying 5(x + 3) = 2y + -3(y + x) + 7 Reorder the terms: 5(3 + x) = 2y + -3(y + x) + 7 (3 * 5 + x * 5) = 2y + -3(y + x) + 7 (15 + 5x) = 2y + -3(y + x) + 7 Reorder the terms: 15 + 5x = 2y + -3(x + y) + 7 15 + 5x = 2y + (x * -3 + y * -3) + 7 15 + 5x = 2y + (-3x + -3y) + 7 Reorder the terms: 15 + 5x = 7 + -3x + 2y + -3y Combine like terms: 2y + -3y = -1y 15 + 5x = 7 + -3x + -1y Solving 15 + 5x = 7 + -3x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 5x + 3x = 7 + -3x + 3x + -1y Combine like terms: 5x + 3x = 8x 15 + 8x = 7 + -3x + 3x + -1y Combine like terms: -3x + 3x = 0 15 + 8x = 7 + 0 + -1y 15 + 8x = 7 + -1y Add '-15' to each side of the equation. 15 + -15 + 8x = 7 + -15 + -1y Combine like terms: 15 + -15 = 0 0 + 8x = 7 + -15 + -1y 8x = 7 + -15 + -1y Combine like terms: 7 + -15 = -8 8x = -8 + -1y Divide each side by '8'. x = -1 + -0.125y Simplifying x = -1 + -0.125y
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