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Simplifying 10 + -7(x + -2) = 12x + -14 Reorder the terms: 10 + -7(-2 + x) = 12x + -14 10 + (-2 * -7 + x * -7) = 12x + -14 10 + (14 + -7x) = 12x + -14 Combine like terms: 10 + 14 = 24 24 + -7x = 12x + -14 Reorder the terms: 24 + -7x = -14 + 12x Solving 24 + -7x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + -7x + -12x = -14 + 12x + -12x Combine like terms: -7x + -12x = -19x 24 + -19x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -19x = -14 + 0 24 + -19x = -14 Add '-24' to each side of the equation. 24 + -24 + -19x = -14 + -24 Combine like terms: 24 + -24 = 0 0 + -19x = -14 + -24 -19x = -14 + -24 Combine like terms: -14 + -24 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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