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Simplifying 7x + -1(x + -12) = 2x + -1(y + x) Reorder the terms: 7x + -1(-12 + x) = 2x + -1(y + x) 7x + (-12 * -1 + x * -1) = 2x + -1(y + x) 7x + (12 + -1x) = 2x + -1(y + x) Reorder the terms: 12 + 7x + -1x = 2x + -1(y + x) Combine like terms: 7x + -1x = 6x 12 + 6x = 2x + -1(y + x) Reorder the terms: 12 + 6x = 2x + -1(x + y) 12 + 6x = 2x + (x * -1 + y * -1) 12 + 6x = 2x + (-1x + -1y) Combine like terms: 2x + -1x = 1x 12 + 6x = 1x + -1y Solving 12 + 6x = 1x + -1y 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. 12 + 6x + -1x = 1x + -1x + -1y Combine like terms: 6x + -1x = 5x 12 + 5x = 1x + -1x + -1y Combine like terms: 1x + -1x = 0 12 + 5x = 0 + -1y 12 + 5x = -1y Add '-12' to each side of the equation. 12 + -12 + 5x = -12 + -1y Combine like terms: 12 + -12 = 0 0 + 5x = -12 + -1y 5x = -12 + -1y Divide each side by '5'. x = -2.4 + -0.2y Simplifying x = -2.4 + -0.2y
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