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