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Simplifying 5(x + -2) + -14 = x + -5 Reorder the terms: 5(-2 + x) + -14 = x + -5 (-2 * 5 + x * 5) + -14 = x + -5 (-10 + 5x) + -14 = x + -5 Reorder the terms: -10 + -14 + 5x = x + -5 Combine like terms: -10 + -14 = -24 -24 + 5x = x + -5 Reorder the terms: -24 + 5x = -5 + x Solving -24 + 5x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + 5x + -1x = -5 + x + -1x Combine like terms: 5x + -1x = 4x -24 + 4x = -5 + x + -1x Combine like terms: x + -1x = 0 -24 + 4x = -5 + 0 -24 + 4x = -5 Add '24' to each side of the equation. -24 + 24 + 4x = -5 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -5 + 24 4x = -5 + 24 Combine like terms: -5 + 24 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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