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Simplifying 5(x + 2) + 2(x + -1) = 7(x + -4) Reorder the terms: 5(2 + x) + 2(x + -1) = 7(x + -4) (2 * 5 + x * 5) + 2(x + -1) = 7(x + -4) (10 + 5x) + 2(x + -1) = 7(x + -4) Reorder the terms: 10 + 5x + 2(-1 + x) = 7(x + -4) 10 + 5x + (-1 * 2 + x * 2) = 7(x + -4) 10 + 5x + (-2 + 2x) = 7(x + -4) Reorder the terms: 10 + -2 + 5x + 2x = 7(x + -4) Combine like terms: 10 + -2 = 8 8 + 5x + 2x = 7(x + -4) Combine like terms: 5x + 2x = 7x 8 + 7x = 7(x + -4) Reorder the terms: 8 + 7x = 7(-4 + x) 8 + 7x = (-4 * 7 + x * 7) 8 + 7x = (-28 + 7x) Add '-7x' to each side of the equation. 8 + 7x + -7x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 0 = -28 + 7x + -7x 8 = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 8 = -28 + 0 8 = -28 Solving 8 = -28 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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