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Simplifying 5(x + -2) + 7 = 3(x + 8) + -1x + -9 Reorder the terms: 5(-2 + x) + 7 = 3(x + 8) + -1x + -9 (-2 * 5 + x * 5) + 7 = 3(x + 8) + -1x + -9 (-10 + 5x) + 7 = 3(x + 8) + -1x + -9 Reorder the terms: -10 + 7 + 5x = 3(x + 8) + -1x + -9 Combine like terms: -10 + 7 = -3 -3 + 5x = 3(x + 8) + -1x + -9 Reorder the terms: -3 + 5x = 3(8 + x) + -1x + -9 -3 + 5x = (8 * 3 + x * 3) + -1x + -9 -3 + 5x = (24 + 3x) + -1x + -9 Reorder the terms: -3 + 5x = 24 + -9 + 3x + -1x Combine like terms: 24 + -9 = 15 -3 + 5x = 15 + 3x + -1x Combine like terms: 3x + -1x = 2x -3 + 5x = 15 + 2x Solving -3 + 5x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 5x + -2x = 15 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = 15 + 0 -3 + 3x = 15 Add '3' to each side of the equation. -3 + 3 + 3x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 15 + 3 3x = 15 + 3 Combine like terms: 15 + 3 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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