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Simplifying 4.2x + 5 = 12(2.5 + -3x) Reorder the terms: 5 + 4.2x = 12(2.5 + -3x) 5 + 4.2x = (2.5 * 12 + -3x * 12) 5 + 4.2x = (30 + -36x) Solving 5 + 4.2x = 30 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 5 + 4.2x + 36x = 30 + -36x + 36x Combine like terms: 4.2x + 36x = 40.2x 5 + 40.2x = 30 + -36x + 36x Combine like terms: -36x + 36x = 0 5 + 40.2x = 30 + 0 5 + 40.2x = 30 Add '-5' to each side of the equation. 5 + -5 + 40.2x = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 40.2x = 30 + -5 40.2x = 30 + -5 Combine like terms: 30 + -5 = 25 40.2x = 25 Divide each side by '40.2'. x = 0.6218905473 Simplifying x = 0.6218905473
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