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Simplifying 2x + 5x + 1 = 10x + -2 Reorder the terms: 1 + 2x + 5x = 10x + -2 Combine like terms: 2x + 5x = 7x 1 + 7x = 10x + -2 Reorder the terms: 1 + 7x = -2 + 10x Solving 1 + 7x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 7x + -10x = -2 + 10x + -10x Combine like terms: 7x + -10x = -3x 1 + -3x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -3x = -2 + 0 1 + -3x = -2 Add '-1' to each side of the equation. 1 + -1 + -3x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -2 + -1 -3x = -2 + -1 Combine like terms: -2 + -1 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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