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Simplifying 7(x + 4) + -3(x + 1) = 4(x + -2) Reorder the terms: 7(4 + x) + -3(x + 1) = 4(x + -2) (4 * 7 + x * 7) + -3(x + 1) = 4(x + -2) (28 + 7x) + -3(x + 1) = 4(x + -2) Reorder the terms: 28 + 7x + -3(1 + x) = 4(x + -2) 28 + 7x + (1 * -3 + x * -3) = 4(x + -2) 28 + 7x + (-3 + -3x) = 4(x + -2) Reorder the terms: 28 + -3 + 7x + -3x = 4(x + -2) Combine like terms: 28 + -3 = 25 25 + 7x + -3x = 4(x + -2) Combine like terms: 7x + -3x = 4x 25 + 4x = 4(x + -2) Reorder the terms: 25 + 4x = 4(-2 + x) 25 + 4x = (-2 * 4 + x * 4) 25 + 4x = (-8 + 4x) Add '-4x' to each side of the equation. 25 + 4x + -4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 0 = -8 + 4x + -4x 25 = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 25 = -8 + 0 25 = -8 Solving 25 = -8 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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