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Simplifying (12 + 3x) * 0.3 = 7(2 + -1x) + -2 Reorder the terms for easier multiplication: 0.3(12 + 3x) = 7(2 + -1x) + -2 (12 * 0.3 + 3x * 0.3) = 7(2 + -1x) + -2 (3.6 + 0.9x) = 7(2 + -1x) + -2 3.6 + 0.9x = (2 * 7 + -1x * 7) + -2 3.6 + 0.9x = (14 + -7x) + -2 Reorder the terms: 3.6 + 0.9x = 14 + -2 + -7x Combine like terms: 14 + -2 = 12 3.6 + 0.9x = 12 + -7x Solving 3.6 + 0.9x = 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. 3.6 + 0.9x + 7x = 12 + -7x + 7x Combine like terms: 0.9x + 7x = 7.9x 3.6 + 7.9x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 3.6 + 7.9x = 12 + 0 3.6 + 7.9x = 12 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 7.9x = 12 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 7.9x = 12 + -3.6 7.9x = 12 + -3.6 Combine like terms: 12 + -3.6 = 8.4 7.9x = 8.4 Divide each side by '7.9'. x = 1.063291139 Simplifying x = 1.063291139
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