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Simplifying 5(x + -4) + 2x + 15 = 8(x + 2) + -3x + 9 Reorder the terms: 5(-4 + x) + 2x + 15 = 8(x + 2) + -3x + 9 (-4 * 5 + x * 5) + 2x + 15 = 8(x + 2) + -3x + 9 (-20 + 5x) + 2x + 15 = 8(x + 2) + -3x + 9 Reorder the terms: -20 + 15 + 5x + 2x = 8(x + 2) + -3x + 9 Combine like terms: -20 + 15 = -5 -5 + 5x + 2x = 8(x + 2) + -3x + 9 Combine like terms: 5x + 2x = 7x -5 + 7x = 8(x + 2) + -3x + 9 Reorder the terms: -5 + 7x = 8(2 + x) + -3x + 9 -5 + 7x = (2 * 8 + x * 8) + -3x + 9 -5 + 7x = (16 + 8x) + -3x + 9 Reorder the terms: -5 + 7x = 16 + 9 + 8x + -3x Combine like terms: 16 + 9 = 25 -5 + 7x = 25 + 8x + -3x Combine like terms: 8x + -3x = 5x -5 + 7x = 25 + 5x Solving -5 + 7x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 7x + -5x = 25 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 25 + 0 -5 + 2x = 25 Add '5' to each side of the equation. -5 + 5 + 2x = 25 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 25 + 5 2x = 25 + 5 Combine like terms: 25 + 5 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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