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Simplifying 2(-3x + 1) = -5(x + -4) + -14x Reorder the terms: 2(1 + -3x) = -5(x + -4) + -14x (1 * 2 + -3x * 2) = -5(x + -4) + -14x (2 + -6x) = -5(x + -4) + -14x Reorder the terms: 2 + -6x = -5(-4 + x) + -14x 2 + -6x = (-4 * -5 + x * -5) + -14x 2 + -6x = (20 + -5x) + -14x Combine like terms: -5x + -14x = -19x 2 + -6x = 20 + -19x Solving 2 + -6x = 20 + -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. 2 + -6x + 19x = 20 + -19x + 19x Combine like terms: -6x + 19x = 13x 2 + 13x = 20 + -19x + 19x Combine like terms: -19x + 19x = 0 2 + 13x = 20 + 0 2 + 13x = 20 Add '-2' to each side of the equation. 2 + -2 + 13x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 20 + -2 13x = 20 + -2 Combine like terms: 20 + -2 = 18 13x = 18 Divide each side by '13'. x = 1.384615385 Simplifying x = 1.384615385
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