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Simplifying 4(x + 7) + (-8x) = -4(x + 3) + 8 Reorder the terms: 4(7 + x) + (-8x) = -4(x + 3) + 8 (7 * 4 + x * 4) + (-8x) = -4(x + 3) + 8 (28 + 4x) + (-8x) = -4(x + 3) + 8 Combine like terms: 4x + (-8x) = -4x 28 + -4x = -4(x + 3) + 8 Reorder the terms: 28 + -4x = -4(3 + x) + 8 28 + -4x = (3 * -4 + x * -4) + 8 28 + -4x = (-12 + -4x) + 8 Reorder the terms: 28 + -4x = -12 + 8 + -4x Combine like terms: -12 + 8 = -4 28 + -4x = -4 + -4x Add '4x' to each side of the equation. 28 + -4x + 4x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + 0 = -4 + -4x + 4x 28 = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 28 = -4 + 0 28 = -4 Solving 28 = -4 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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