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Simplifying 5(x + -2) + 8x + -14 = 9x + -2 Reorder the terms: 5(-2 + x) + 8x + -14 = 9x + -2 (-2 * 5 + x * 5) + 8x + -14 = 9x + -2 (-10 + 5x) + 8x + -14 = 9x + -2 Reorder the terms: -10 + -14 + 5x + 8x = 9x + -2 Combine like terms: -10 + -14 = -24 -24 + 5x + 8x = 9x + -2 Combine like terms: 5x + 8x = 13x -24 + 13x = 9x + -2 Reorder the terms: -24 + 13x = -2 + 9x Solving -24 + 13x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 13x + -9x = -2 + 9x + -9x Combine like terms: 13x + -9x = 4x -24 + 4x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 4x = -2 + 0 -24 + 4x = -2 Add '24' to each side of the equation. -24 + 24 + 4x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -2 + 24 4x = -2 + 24 Combine like terms: -2 + 24 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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