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Simplifying 0.3(18x + 12) = -3x + 40 Reorder the terms: 0.3(12 + 18x) = -3x + 40 (12 * 0.3 + 18x * 0.3) = -3x + 40 (3.6 + 5.4x) = -3x + 40 Reorder the terms: 3.6 + 5.4x = 40 + -3x Solving 3.6 + 5.4x = 40 + -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. 3.6 + 5.4x + 3x = 40 + -3x + 3x Combine like terms: 5.4x + 3x = 8.4x 3.6 + 8.4x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 3.6 + 8.4x = 40 + 0 3.6 + 8.4x = 40 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 8.4x = 40 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 8.4x = 40 + -3.6 8.4x = 40 + -3.6 Combine like terms: 40 + -3.6 = 36.4 8.4x = 36.4 Divide each side by '8.4'. x = 4.333333333 Simplifying x = 4.333333333
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