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Simplifying -4(-4x + -6) + -3x = -14 + -6x Reorder the terms: -4(-6 + -4x) + -3x = -14 + -6x (-6 * -4 + -4x * -4) + -3x = -14 + -6x (24 + 16x) + -3x = -14 + -6x Combine like terms: 16x + -3x = 13x 24 + 13x = -14 + -6x Solving 24 + 13x = -14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + 13x + 6x = -14 + -6x + 6x Combine like terms: 13x + 6x = 19x 24 + 19x = -14 + -6x + 6x Combine like terms: -6x + 6x = 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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