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Simplifying 18 + 6x + -12 = 4(2 + -1x) + 9x Reorder the terms: 18 + -12 + 6x = 4(2 + -1x) + 9x Combine like terms: 18 + -12 = 6 6 + 6x = 4(2 + -1x) + 9x 6 + 6x = (2 * 4 + -1x * 4) + 9x 6 + 6x = (8 + -4x) + 9x Combine like terms: -4x + 9x = 5x 6 + 6x = 8 + 5x Solving 6 + 6x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 6x + -5x = 8 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 8 + 0 6 + 1x = 8 Add '-6' to each side of the equation. 6 + -6 + 1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 8 + -6 1x = 8 + -6 Combine like terms: 8 + -6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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