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Simplifying 15 + 2x + 5(x + -4) = 8x + -14 Reorder the terms: 15 + 2x + 5(-4 + x) = 8x + -14 15 + 2x + (-4 * 5 + x * 5) = 8x + -14 15 + 2x + (-20 + 5x) = 8x + -14 Reorder the terms: 15 + -20 + 2x + 5x = 8x + -14 Combine like terms: 15 + -20 = -5 -5 + 2x + 5x = 8x + -14 Combine like terms: 2x + 5x = 7x -5 + 7x = 8x + -14 Reorder the terms: -5 + 7x = -14 + 8x Solving -5 + 7x = -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. -5 + 7x + -8x = -14 + 8x + -8x Combine like terms: 7x + -8x = -1x -5 + -1x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -1x = -14 + 0 -5 + -1x = -14 Add '5' to each side of the equation. -5 + 5 + -1x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -14 + 5 -1x = -14 + 5 Combine like terms: -14 + 5 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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