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Simplifying x + -3(x + -4) + 2 = 14 + -3(5x + 6) Reorder the terms: x + -3(-4 + x) + 2 = 14 + -3(5x + 6) x + (-4 * -3 + x * -3) + 2 = 14 + -3(5x + 6) x + (12 + -3x) + 2 = 14 + -3(5x + 6) Reorder the terms: 12 + 2 + x + -3x = 14 + -3(5x + 6) Combine like terms: 12 + 2 = 14 14 + x + -3x = 14 + -3(5x + 6) Combine like terms: x + -3x = -2x 14 + -2x = 14 + -3(5x + 6) Reorder the terms: 14 + -2x = 14 + -3(6 + 5x) 14 + -2x = 14 + (6 * -3 + 5x * -3) 14 + -2x = 14 + (-18 + -15x) Combine like terms: 14 + -18 = -4 14 + -2x = -4 + -15x Solving 14 + -2x = -4 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 14 + -2x + 15x = -4 + -15x + 15x Combine like terms: -2x + 15x = 13x 14 + 13x = -4 + -15x + 15x Combine like terms: -15x + 15x = 0 14 + 13x = -4 + 0 14 + 13x = -4 Add '-14' to each side of the equation. 14 + -14 + 13x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = -4 + -14 13x = -4 + -14 Combine like terms: -4 + -14 = -18 13x = -18 Divide each side by '13'. x = -1.384615385 Simplifying x = -1.384615385
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