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Simplifying 7x + 14 + -12x = -1x + 12 + -1x + -19 Reorder the terms: 14 + 7x + -12x = -1x + 12 + -1x + -19 Combine like terms: 7x + -12x = -5x 14 + -5x = -1x + 12 + -1x + -19 Reorder the terms: 14 + -5x = 12 + -19 + -1x + -1x Combine like terms: 12 + -19 = -7 14 + -5x = -7 + -1x + -1x Combine like terms: -1x + -1x = -2x 14 + -5x = -7 + -2x Solving 14 + -5x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + -5x + 2x = -7 + -2x + 2x Combine like terms: -5x + 2x = -3x 14 + -3x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -3x = -7 + 0 14 + -3x = -7 Add '-14' to each side of the equation. 14 + -14 + -3x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -7 + -14 -3x = -7 + -14 Combine like terms: -7 + -14 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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