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Simplifying 4(x + 2) + -7(x + -1y) = 7 Reorder the terms: 4(2 + x) + -7(x + -1y) = 7 (2 * 4 + x * 4) + -7(x + -1y) = 7 (8 + 4x) + -7(x + -1y) = 7 8 + 4x + (x * -7 + -1y * -7) = 7 8 + 4x + (-7x + 7y) = 7 Combine like terms: 4x + -7x = -3x 8 + -3x + 7y = 7 Solving 8 + -3x + 7y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3x + -8 + 7y = 7 + -8 Reorder the terms: 8 + -8 + -3x + 7y = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + 7y = 7 + -8 -3x + 7y = 7 + -8 Combine like terms: 7 + -8 = -1 -3x + 7y = -1 Add '-7y' to each side of the equation. -3x + 7y + -7y = -1 + -7y Combine like terms: 7y + -7y = 0 -3x + 0 = -1 + -7y -3x = -1 + -7y Divide each side by '-3'. x = 0.3333333333 + 2.333333333y Simplifying x = 0.3333333333 + 2.333333333y
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