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Simplifying 5x + -3x + 12 = x + 6 Reorder the terms: 12 + 5x + -3x = x + 6 Combine like terms: 5x + -3x = 2x 12 + 2x = x + 6 Reorder the terms: 12 + 2x = 6 + x Solving 12 + 2x = 6 + x 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. 12 + 2x + -1x = 6 + x + -1x Combine like terms: 2x + -1x = 1x 12 + 1x = 6 + x + -1x Combine like terms: x + -1x = 0 12 + 1x = 6 + 0 12 + 1x = 6 Add '-12' to each side of the equation. 12 + -12 + 1x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 6 + -12 1x = 6 + -12 Combine like terms: 6 + -12 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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