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Simplifying 0.42(6) + 0.07x = 0.14(30 + x) Multiply 0.42 * 6 2.52 + 0.07x = 0.14(30 + x) 2.52 + 0.07x = (30 * 0.14 + x * 0.14) 2.52 + 0.07x = (4.2 + 0.14x) Solving 2.52 + 0.07x = 4.2 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. 2.52 + 0.07x + -0.14x = 4.2 + 0.14x + -0.14x Combine like terms: 0.07x + -0.14x = -0.07x 2.52 + -0.07x = 4.2 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 2.52 + -0.07x = 4.2 + 0.00 2.52 + -0.07x = 4.2 Add '-2.52' to each side of the equation. 2.52 + -2.52 + -0.07x = 4.2 + -2.52 Combine like terms: 2.52 + -2.52 = 0.00 0.00 + -0.07x = 4.2 + -2.52 -0.07x = 4.2 + -2.52 Combine like terms: 4.2 + -2.52 = 1.68 -0.07x = 1.68 Divide each side by '-0.07'. x = -24 Simplifying x = -24
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