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Simplifying 4x + -5(x + -2) = 8x + 14 Reorder the terms: 4x + -5(-2 + x) = 8x + 14 4x + (-2 * -5 + x * -5) = 8x + 14 4x + (10 + -5x) = 8x + 14 Reorder the terms: 10 + 4x + -5x = 8x + 14 Combine like terms: 4x + -5x = -1x 10 + -1x = 8x + 14 Reorder the terms: 10 + -1x = 14 + 8x Solving 10 + -1x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -1x + -8x = 14 + 8x + -8x Combine like terms: -1x + -8x = -9x 10 + -9x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -9x = 14 + 0 10 + -9x = 14 Add '-10' to each side of the equation. 10 + -10 + -9x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 14 + -10 -9x = 14 + -10 Combine like terms: 14 + -10 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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