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Simplifying 14(x + 3) + -2x = 3(4x + 1) + -7 Reorder the terms: 14(3 + x) + -2x = 3(4x + 1) + -7 (3 * 14 + x * 14) + -2x = 3(4x + 1) + -7 (42 + 14x) + -2x = 3(4x + 1) + -7 Combine like terms: 14x + -2x = 12x 42 + 12x = 3(4x + 1) + -7 Reorder the terms: 42 + 12x = 3(1 + 4x) + -7 42 + 12x = (1 * 3 + 4x * 3) + -7 42 + 12x = (3 + 12x) + -7 Reorder the terms: 42 + 12x = 3 + -7 + 12x Combine like terms: 3 + -7 = -4 42 + 12x = -4 + 12x Add '-12x' to each side of the equation. 42 + 12x + -12x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + 0 = -4 + 12x + -12x 42 = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 42 = -4 + 0 42 = -4 Solving 42 = -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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