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Simplifying 2x + -1x + 7 = 5x + 10 + -3x Reorder the terms: 7 + 2x + -1x = 5x + 10 + -3x Combine like terms: 2x + -1x = 1x 7 + 1x = 5x + 10 + -3x Reorder the terms: 7 + 1x = 10 + 5x + -3x Combine like terms: 5x + -3x = 2x 7 + 1x = 10 + 2x Solving 7 + 1x = 10 + 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. 7 + 1x + -2x = 10 + 2x + -2x Combine like terms: 1x + -2x = -1x 7 + -1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1x = 10 + 0 7 + -1x = 10 Add '-7' to each side of the equation. 7 + -7 + -1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 10 + -7 -1x = 10 + -7 Combine like terms: 10 + -7 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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