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Simplifying 0.19x + 0.42 = 0.28x + 1.05 Reorder the terms: 0.42 + 0.19x = 0.28x + 1.05 Reorder the terms: 0.42 + 0.19x = 1.05 + 0.28x Solving 0.42 + 0.19x = 1.05 + 0.28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.28x' to each side of the equation. 0.42 + 0.19x + -0.28x = 1.05 + 0.28x + -0.28x Combine like terms: 0.19x + -0.28x = -0.09x 0.42 + -0.09x = 1.05 + 0.28x + -0.28x Combine like terms: 0.28x + -0.28x = 0.00 0.42 + -0.09x = 1.05 + 0.00 0.42 + -0.09x = 1.05 Add '-0.42' to each side of the equation. 0.42 + -0.42 + -0.09x = 1.05 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + -0.09x = 1.05 + -0.42 -0.09x = 1.05 + -0.42 Combine like terms: 1.05 + -0.42 = 0.63 -0.09x = 0.63 Divide each side by '-0.09'. x = -7 Simplifying x = -7
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