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Simplifying -2x + 7 = -5x + 6x + 10 Reorder the terms: 7 + -2x = -5x + 6x + 10 Reorder the terms: 7 + -2x = 10 + -5x + 6x Combine like terms: -5x + 6x = 1x 7 + -2x = 10 + 1x Solving 7 + -2x = 10 + 1x 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. 7 + -2x + -1x = 10 + 1x + -1x Combine like terms: -2x + -1x = -3x 7 + -3x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -3x = 10 + 0 7 + -3x = 10 Add '-7' to each side of the equation. 7 + -7 + -3x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 10 + -7 -3x = 10 + -7 Combine like terms: 10 + -7 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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