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Simplifying 4(5x + 3) + -4x = -6(7 + -2x) + 2x + -5 + 2x Reorder the terms: 4(3 + 5x) + -4x = -6(7 + -2x) + 2x + -5 + 2x (3 * 4 + 5x * 4) + -4x = -6(7 + -2x) + 2x + -5 + 2x (12 + 20x) + -4x = -6(7 + -2x) + 2x + -5 + 2x Combine like terms: 20x + -4x = 16x 12 + 16x = -6(7 + -2x) + 2x + -5 + 2x 12 + 16x = (7 * -6 + -2x * -6) + 2x + -5 + 2x 12 + 16x = (-42 + 12x) + 2x + -5 + 2x Reorder the terms: 12 + 16x = -42 + -5 + 12x + 2x + 2x Combine like terms: -42 + -5 = -47 12 + 16x = -47 + 12x + 2x + 2x Combine like terms: 12x + 2x = 14x 12 + 16x = -47 + 14x + 2x Combine like terms: 14x + 2x = 16x 12 + 16x = -47 + 16x Add '-16x' to each side of the equation. 12 + 16x + -16x = -47 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + 0 = -47 + 16x + -16x 12 = -47 + 16x + -16x Combine like terms: 16x + -16x = 0 12 = -47 + 0 12 = -47 Solving 12 = -47 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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