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Simplifying 6x + 2 + 3x + -5 = -2 + 10x + 1 Reorder the terms: 2 + -5 + 6x + 3x = -2 + 10x + 1 Combine like terms: 2 + -5 = -3 -3 + 6x + 3x = -2 + 10x + 1 Combine like terms: 6x + 3x = 9x -3 + 9x = -2 + 10x + 1 Reorder the terms: -3 + 9x = -2 + 1 + 10x Combine like terms: -2 + 1 = -1 -3 + 9x = -1 + 10x Solving -3 + 9x = -1 + 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. -3 + 9x + -10x = -1 + 10x + -10x Combine like terms: 9x + -10x = -1x -3 + -1x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -1x = -1 + 0 -3 + -1x = -1 Add '3' to each side of the equation. -3 + 3 + -1x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -1 + 3 -1x = -1 + 3 Combine like terms: -1 + 3 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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