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Simplifying -4(-7x + 1) + 5(8 + 2y) = -2 Reorder the terms: -4(1 + -7x) + 5(8 + 2y) = -2 (1 * -4 + -7x * -4) + 5(8 + 2y) = -2 (-4 + 28x) + 5(8 + 2y) = -2 -4 + 28x + (8 * 5 + 2y * 5) = -2 -4 + 28x + (40 + 10y) = -2 Reorder the terms: -4 + 40 + 28x + 10y = -2 Combine like terms: -4 + 40 = 36 36 + 28x + 10y = -2 Solving 36 + 28x + 10y = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 28x + -36 + 10y = -2 + -36 Reorder the terms: 36 + -36 + 28x + 10y = -2 + -36 Combine like terms: 36 + -36 = 0 0 + 28x + 10y = -2 + -36 28x + 10y = -2 + -36 Combine like terms: -2 + -36 = -38 28x + 10y = -38 Add '-10y' to each side of the equation. 28x + 10y + -10y = -38 + -10y Combine like terms: 10y + -10y = 0 28x + 0 = -38 + -10y 28x = -38 + -10y Divide each side by '28'. x = -1.357142857 + -0.3571428571y Simplifying x = -1.357142857 + -0.3571428571y
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