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Simplifying 2x + 5x + -3 = 15 + -1x + -2 Reorder the terms: -3 + 2x + 5x = 15 + -1x + -2 Combine like terms: 2x + 5x = 7x -3 + 7x = 15 + -1x + -2 Reorder the terms: -3 + 7x = 15 + -2 + -1x Combine like terms: 15 + -2 = 13 -3 + 7x = 13 + -1x Solving -3 + 7x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 7x + x = 13 + -1x + x Combine like terms: 7x + x = 8x -3 + 8x = 13 + -1x + x Combine like terms: -1x + x = 0 -3 + 8x = 13 + 0 -3 + 8x = 13 Add '3' to each side of the equation. -3 + 3 + 8x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 13 + 3 8x = 13 + 3 Combine like terms: 13 + 3 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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