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Simplifying 0.2(3x + 51) = 4x Reorder the terms: 0.2(51 + 3x) = 4x (51 * 0.2 + 3x * 0.2) = 4x (10.2 + 0.6x) = 4x Solving 10.2 + 0.6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10.2 + 0.6x + -4x = 4x + -4x Combine like terms: 0.6x + -4x = -3.4x 10.2 + -3.4x = 4x + -4x Combine like terms: 4x + -4x = 0 10.2 + -3.4x = 0 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -3.4x = 0 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -3.4x = 0 + -10.2 -3.4x = 0 + -10.2 Combine like terms: 0 + -10.2 = -10.2 -3.4x = -10.2 Divide each side by '-3.4'. x = 3 Simplifying x = 3
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