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Simplifying -6(x + -2) = 14 + -19(x + -4) Reorder the terms: -6(-2 + x) = 14 + -19(x + -4) (-2 * -6 + x * -6) = 14 + -19(x + -4) (12 + -6x) = 14 + -19(x + -4) Reorder the terms: 12 + -6x = 14 + -19(-4 + x) 12 + -6x = 14 + (-4 * -19 + x * -19) 12 + -6x = 14 + (76 + -19x) Combine like terms: 14 + 76 = 90 12 + -6x = 90 + -19x Solving 12 + -6x = 90 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 12 + -6x + 19x = 90 + -19x + 19x Combine like terms: -6x + 19x = 13x 12 + 13x = 90 + -19x + 19x Combine like terms: -19x + 19x = 0 12 + 13x = 90 + 0 12 + 13x = 90 Add '-12' to each side of the equation. 12 + -12 + 13x = 90 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 90 + -12 13x = 90 + -12 Combine like terms: 90 + -12 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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