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Simplifying 5(x + -1) + 3(x + 2) = x + 7 Reorder the terms: 5(-1 + x) + 3(x + 2) = x + 7 (-1 * 5 + x * 5) + 3(x + 2) = x + 7 (-5 + 5x) + 3(x + 2) = x + 7 Reorder the terms: -5 + 5x + 3(2 + x) = x + 7 -5 + 5x + (2 * 3 + x * 3) = x + 7 -5 + 5x + (6 + 3x) = x + 7 Reorder the terms: -5 + 6 + 5x + 3x = x + 7 Combine like terms: -5 + 6 = 1 1 + 5x + 3x = x + 7 Combine like terms: 5x + 3x = 8x 1 + 8x = x + 7 Reorder the terms: 1 + 8x = 7 + x Solving 1 + 8x = 7 + 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. 1 + 8x + -1x = 7 + x + -1x Combine like terms: 8x + -1x = 7x 1 + 7x = 7 + x + -1x Combine like terms: x + -1x = 0 1 + 7x = 7 + 0 1 + 7x = 7 Add '-1' to each side of the equation. 1 + -1 + 7x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 7 + -1 7x = 7 + -1 Combine like terms: 7 + -1 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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