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Simplifying 12x + -14 + -13x = 4(2x + -4) + 2 Reorder the terms: -14 + 12x + -13x = 4(2x + -4) + 2 Combine like terms: 12x + -13x = -1x -14 + -1x = 4(2x + -4) + 2 Reorder the terms: -14 + -1x = 4(-4 + 2x) + 2 -14 + -1x = (-4 * 4 + 2x * 4) + 2 -14 + -1x = (-16 + 8x) + 2 Reorder the terms: -14 + -1x = -16 + 2 + 8x Combine like terms: -16 + 2 = -14 -14 + -1x = -14 + 8x Add '14' to each side of the equation. -14 + 14 + -1x = -14 + 14 + 8x Combine like terms: -14 + 14 = 0 0 + -1x = -14 + 14 + 8x -1x = -14 + 14 + 8x Combine like terms: -14 + 14 = 0 -1x = 0 + 8x -1x = 8x Solving -1x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1x + -8x = 8x + -8x Combine like terms: -1x + -8x = -9x -9x = 8x + -8x Combine like terms: 8x + -8x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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