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Simplifying 2x + -12 + 3x + -7 = 6x + -31 Reorder the terms: -12 + -7 + 2x + 3x = 6x + -31 Combine like terms: -12 + -7 = -19 -19 + 2x + 3x = 6x + -31 Combine like terms: 2x + 3x = 5x -19 + 5x = 6x + -31 Reorder the terms: -19 + 5x = -31 + 6x Solving -19 + 5x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -19 + 5x + -6x = -31 + 6x + -6x Combine like terms: 5x + -6x = -1x -19 + -1x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + -1x = -31 + 0 -19 + -1x = -31 Add '19' to each side of the equation. -19 + 19 + -1x = -31 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -31 + 19 -1x = -31 + 19 Combine like terms: -31 + 19 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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