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Simplifying 6(x + 7) + -2x = 4(x + -4) + -2 Reorder the terms: 6(7 + x) + -2x = 4(x + -4) + -2 (7 * 6 + x * 6) + -2x = 4(x + -4) + -2 (42 + 6x) + -2x = 4(x + -4) + -2 Combine like terms: 6x + -2x = 4x 42 + 4x = 4(x + -4) + -2 Reorder the terms: 42 + 4x = 4(-4 + x) + -2 42 + 4x = (-4 * 4 + x * 4) + -2 42 + 4x = (-16 + 4x) + -2 Reorder the terms: 42 + 4x = -16 + -2 + 4x Combine like terms: -16 + -2 = -18 42 + 4x = -18 + 4x Add '-4x' to each side of the equation. 42 + 4x + -4x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 0 = -18 + 4x + -4x 42 = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 42 = -18 + 0 42 = -18 Solving 42 = -18 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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