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Simplifying 5x + -1y + 3(x + 1) = -7 Reorder the terms: 5x + -1y + 3(1 + x) = -7 5x + -1y + (1 * 3 + x * 3) = -7 5x + -1y + (3 + 3x) = -7 Reorder the terms: 3 + 5x + 3x + -1y = -7 Combine like terms: 5x + 3x = 8x 3 + 8x + -1y = -7 Solving 3 + 8x + -1y = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 8x + -3 + -1y = -7 + -3 Reorder the terms: 3 + -3 + 8x + -1y = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 8x + -1y = -7 + -3 8x + -1y = -7 + -3 Combine like terms: -7 + -3 = -10 8x + -1y = -10 Add 'y' to each side of the equation. 8x + -1y + y = -10 + y Combine like terms: -1y + y = 0 8x + 0 = -10 + y 8x = -10 + y Divide each side by '8'. x = -1.25 + 0.125y Simplifying x = -1.25 + 0.125y
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