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Simplifying 0.4(13x) = 0.6(x + 3) + -1.2 Remove parenthesis around (13x) 0.4 * 13x = 0.6(x + 3) + -1.2 Multiply 0.4 * 13 5.2x = 0.6(x + 3) + -1.2 Reorder the terms: 5.2x = 0.6(3 + x) + -1.2 5.2x = (3 * 0.6 + x * 0.6) + -1.2 5.2x = (1.8 + 0.6x) + -1.2 Reorder the terms: 5.2x = 1.8 + -1.2 + 0.6x Combine like terms: 1.8 + -1.2 = 0.6 5.2x = 0.6 + 0.6x Solving 5.2x = 0.6 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 5.2x + -0.6x = 0.6 + 0.6x + -0.6x Combine like terms: 5.2x + -0.6x = 4.6x 4.6x = 0.6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 4.6x = 0.6 + 0.0 4.6x = 0.6 Divide each side by '4.6'. x = 0.1304347826 Simplifying x = 0.1304347826
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