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Simplifying 14 + 2x = -8(3 + -5x) 14 + 2x = (3 * -8 + -5x * -8) 14 + 2x = (-24 + 40x) Solving 14 + 2x = -24 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 14 + 2x + -40x = -24 + 40x + -40x Combine like terms: 2x + -40x = -38x 14 + -38x = -24 + 40x + -40x Combine like terms: 40x + -40x = 0 14 + -38x = -24 + 0 14 + -38x = -24 Add '-14' to each side of the equation. 14 + -14 + -38x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -38x = -24 + -14 -38x = -24 + -14 Combine like terms: -24 + -14 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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