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Simplifying 3(x + 4) + -4(x + -3) = 3x + 12 + -4x + 12 + -12 Reorder the terms: 3(4 + x) + -4(x + -3) = 3x + 12 + -4x + 12 + -12 (4 * 3 + x * 3) + -4(x + -3) = 3x + 12 + -4x + 12 + -12 (12 + 3x) + -4(x + -3) = 3x + 12 + -4x + 12 + -12 Reorder the terms: 12 + 3x + -4(-3 + x) = 3x + 12 + -4x + 12 + -12 12 + 3x + (-3 * -4 + x * -4) = 3x + 12 + -4x + 12 + -12 12 + 3x + (12 + -4x) = 3x + 12 + -4x + 12 + -12 Reorder the terms: 12 + 12 + 3x + -4x = 3x + 12 + -4x + 12 + -12 Combine like terms: 12 + 12 = 24 24 + 3x + -4x = 3x + 12 + -4x + 12 + -12 Combine like terms: 3x + -4x = -1x 24 + -1x = 3x + 12 + -4x + 12 + -12 Reorder the terms: 24 + -1x = 12 + 12 + -12 + 3x + -4x Combine like terms: 12 + 12 = 24 24 + -1x = 24 + -12 + 3x + -4x Combine like terms: 24 + -12 = 12 24 + -1x = 12 + 3x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = 12 + -1x Add 'x' to each side of the equation. 24 + -1x + x = 12 + -1x + x Combine like terms: -1x + x = 0 24 + 0 = 12 + -1x + x 24 = 12 + -1x + x Combine like terms: -1x + x = 0 24 = 12 + 0 24 = 12 Solving 24 = 12 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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