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Simplifying 14 + -2x = 2(x + 1) + -4(3 + -5x) Reorder the terms: 14 + -2x = 2(1 + x) + -4(3 + -5x) 14 + -2x = (1 * 2 + x * 2) + -4(3 + -5x) 14 + -2x = (2 + 2x) + -4(3 + -5x) 14 + -2x = 2 + 2x + (3 * -4 + -5x * -4) 14 + -2x = 2 + 2x + (-12 + 20x) Reorder the terms: 14 + -2x = 2 + -12 + 2x + 20x Combine like terms: 2 + -12 = -10 14 + -2x = -10 + 2x + 20x Combine like terms: 2x + 20x = 22x 14 + -2x = -10 + 22x Solving 14 + -2x = -10 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 14 + -2x + -22x = -10 + 22x + -22x Combine like terms: -2x + -22x = -24x 14 + -24x = -10 + 22x + -22x Combine like terms: 22x + -22x = 0 14 + -24x = -10 + 0 14 + -24x = -10 Add '-14' to each side of the equation. 14 + -14 + -24x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -24x = -10 + -14 -24x = -10 + -14 Combine like terms: -10 + -14 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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