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Simplifying 3x + -1x + 7x + 12 = 3x + 9 Reorder the terms: 12 + 3x + -1x + 7x = 3x + 9 Combine like terms: 3x + -1x = 2x 12 + 2x + 7x = 3x + 9 Combine like terms: 2x + 7x = 9x 12 + 9x = 3x + 9 Reorder the terms: 12 + 9x = 9 + 3x Solving 12 + 9x = 9 + 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. 12 + 9x + -3x = 9 + 3x + -3x Combine like terms: 9x + -3x = 6x 12 + 6x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 6x = 9 + 0 12 + 6x = 9 Add '-12' to each side of the equation. 12 + -12 + 6x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 9 + -12 6x = 9 + -12 Combine like terms: 9 + -12 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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