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Simplifying 0.32(x + 5.1) = 2x + -0.384 Reorder the terms: 0.32(5.1 + x) = 2x + -0.384 (5.1 * 0.32 + x * 0.32) = 2x + -0.384 (1.632 + 0.32x) = 2x + -0.384 Reorder the terms: 1.632 + 0.32x = -0.384 + 2x Solving 1.632 + 0.32x = -0.384 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.632 + 0.32x + -2x = -0.384 + 2x + -2x Combine like terms: 0.32x + -2x = -1.68x 1.632 + -1.68x = -0.384 + 2x + -2x Combine like terms: 2x + -2x = 0 1.632 + -1.68x = -0.384 + 0 1.632 + -1.68x = -0.384 Add '-1.632' to each side of the equation. 1.632 + -1.632 + -1.68x = -0.384 + -1.632 Combine like terms: 1.632 + -1.632 = 0.000 0.000 + -1.68x = -0.384 + -1.632 -1.68x = -0.384 + -1.632 Combine like terms: -0.384 + -1.632 = -2.016 -1.68x = -2.016 Divide each side by '-1.68'. x = 1.2 Simplifying x = 1.2
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