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Simplifying 3x + -2(4x + -5) = 3x + -14 Reorder the terms: 3x + -2(-5 + 4x) = 3x + -14 3x + (-5 * -2 + 4x * -2) = 3x + -14 3x + (10 + -8x) = 3x + -14 Reorder the terms: 10 + 3x + -8x = 3x + -14 Combine like terms: 3x + -8x = -5x 10 + -5x = 3x + -14 Reorder the terms: 10 + -5x = -14 + 3x Solving 10 + -5x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -5x + -3x = -14 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -8x = -14 + 0 10 + -8x = -14 Add '-10' to each side of the equation. 10 + -10 + -8x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -14 + -10 -8x = -14 + -10 Combine like terms: -14 + -10 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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