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Simplifying (12 + 3x) * 0.333333333333333 = 7(2 + -1x) + -2 Reorder the terms for easier multiplication: 0.333333333333333(12 + 3x) = 7(2 + -1x) + -2 (12 * 0.333333333333333 + 3x * 0.333333333333333) = 7(2 + -1x) + -2 (4 + 1x) = 7(2 + -1x) + -2 4 + 1x = (2 * 7 + -1x * 7) + -2 4 + 1x = (14 + -7x) + -2 Reorder the terms: 4 + 1x = 14 + -2 + -7x Combine like terms: 14 + -2 = 12 4 + 1x = 12 + -7x Solving 4 + 1x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 1x + 7x = 12 + -7x + 7x Combine like terms: 1x + 7x = 8x 4 + 8x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 8x = 12 + 0 4 + 8x = 12 Add '-4' to each side of the equation. 4 + -4 + 8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 12 + -4 8x = 12 + -4 Combine like terms: 12 + -4 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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