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Simplifying 3(4 + -5x) + 2(x + 1) = -6x + -8x (4 * 3 + -5x * 3) + 2(x + 1) = -6x + -8x (12 + -15x) + 2(x + 1) = -6x + -8x Reorder the terms: 12 + -15x + 2(1 + x) = -6x + -8x 12 + -15x + (1 * 2 + x * 2) = -6x + -8x 12 + -15x + (2 + 2x) = -6x + -8x Reorder the terms: 12 + 2 + -15x + 2x = -6x + -8x Combine like terms: 12 + 2 = 14 14 + -15x + 2x = -6x + -8x Combine like terms: -15x + 2x = -13x 14 + -13x = -6x + -8x Combine like terms: -6x + -8x = -14x 14 + -13x = -14x Solving 14 + -13x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 14 + -13x + 14x = -14x + 14x Combine like terms: -13x + 14x = 1x 14 + 1x = -14x + 14x Combine like terms: -14x + 14x = 0 14 + 1x = 0 Add '-14' to each side of the equation. 14 + -14 + 1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 0 + -14 1x = 0 + -14 Combine like terms: 0 + -14 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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