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Simplifying (10x + -2y) + -1(2x + -7) = 0 Remove parenthesis around (10x + -2y) 10x + -2y + -1(2x + -7) = 0 Reorder the terms: 10x + -2y + -1(-7 + 2x) = 0 10x + -2y + (-7 * -1 + 2x * -1) = 0 10x + -2y + (7 + -2x) = 0 Reorder the terms: 7 + 10x + -2x + -2y = 0 Combine like terms: 10x + -2x = 8x 7 + 8x + -2y = 0 Solving 7 + 8x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 8x + -7 + -2y = 0 + -7 Reorder the terms: 7 + -7 + 8x + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x + -2y = 0 + -7 8x + -2y = 0 + -7 Combine like terms: 0 + -7 = -7 8x + -2y = -7 Add '2y' to each side of the equation. 8x + -2y + 2y = -7 + 2y Combine like terms: -2y + 2y = 0 8x + 0 = -7 + 2y 8x = -7 + 2y Divide each side by '8'. x = -0.875 + 0.25y Simplifying x = -0.875 + 0.25y
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