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Simplifying 3(2x + -6) + -4(x + -7) = 2x + 3 Reorder the terms: 3(-6 + 2x) + -4(x + -7) = 2x + 3 (-6 * 3 + 2x * 3) + -4(x + -7) = 2x + 3 (-18 + 6x) + -4(x + -7) = 2x + 3 Reorder the terms: -18 + 6x + -4(-7 + x) = 2x + 3 -18 + 6x + (-7 * -4 + x * -4) = 2x + 3 -18 + 6x + (28 + -4x) = 2x + 3 Reorder the terms: -18 + 28 + 6x + -4x = 2x + 3 Combine like terms: -18 + 28 = 10 10 + 6x + -4x = 2x + 3 Combine like terms: 6x + -4x = 2x 10 + 2x = 2x + 3 Reorder the terms: 10 + 2x = 3 + 2x Add '-2x' to each side of the equation. 10 + 2x + -2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0 = 3 + 2x + -2x 10 = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 10 = 3 + 0 10 = 3 Solving 10 = 3 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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