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Simplifying 3(2x + 2) + -5(x + 4) = x + -14 Reorder the terms: 3(2 + 2x) + -5(x + 4) = x + -14 (2 * 3 + 2x * 3) + -5(x + 4) = x + -14 (6 + 6x) + -5(x + 4) = x + -14 Reorder the terms: 6 + 6x + -5(4 + x) = x + -14 6 + 6x + (4 * -5 + x * -5) = x + -14 6 + 6x + (-20 + -5x) = x + -14 Reorder the terms: 6 + -20 + 6x + -5x = x + -14 Combine like terms: 6 + -20 = -14 -14 + 6x + -5x = x + -14 Combine like terms: 6x + -5x = 1x -14 + 1x = x + -14 Reorder the terms: -14 + 1x = -14 + x Add '14' to each side of the equation. -14 + 14 + 1x = -14 + 14 + x Combine like terms: -14 + 14 = 0 0 + 1x = -14 + 14 + x 1x = -14 + 14 + x Combine like terms: -14 + 14 = 0 1x = 0 + x 1x = x Solving 1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1x + -1x = x + -1x Combine like terms: 1x + -1x = 0 0 = x + -1x Combine like terms: x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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