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Simplifying 6x + 2 + -3x = -7 + -2x + -1x + 12 Reorder the terms: 2 + 6x + -3x = -7 + -2x + -1x + 12 Combine like terms: 6x + -3x = 3x 2 + 3x = -7 + -2x + -1x + 12 Reorder the terms: 2 + 3x = -7 + 12 + -2x + -1x Combine like terms: -7 + 12 = 5 2 + 3x = 5 + -2x + -1x Combine like terms: -2x + -1x = -3x 2 + 3x = 5 + -3x Solving 2 + 3x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 3x + 3x = 5 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = 5 + 0 2 + 6x = 5 Add '-2' to each side of the equation. 2 + -2 + 6x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 5 + -2 6x = 5 + -2 Combine like terms: 5 + -2 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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