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Simplifying 4.2x + 0.8 = 6.2x + -1(1.1x + 0.8) + 1.2 Reorder the terms: 0.8 + 4.2x = 6.2x + -1(1.1x + 0.8) + 1.2 Reorder the terms: 0.8 + 4.2x = 6.2x + -1(0.8 + 1.1x) + 1.2 0.8 + 4.2x = 6.2x + (0.8 * -1 + 1.1x * -1) + 1.2 0.8 + 4.2x = 6.2x + (-0.8 + -1.1x) + 1.2 Reorder the terms: 0.8 + 4.2x = -0.8 + 1.2 + 6.2x + -1.1x Combine like terms: -0.8 + 1.2 = 0.4 0.8 + 4.2x = 0.4 + 6.2x + -1.1x Combine like terms: 6.2x + -1.1x = 5.1x 0.8 + 4.2x = 0.4 + 5.1x Solving 0.8 + 4.2x = 0.4 + 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. 0.8 + 4.2x + -5.1x = 0.4 + 5.1x + -5.1x Combine like terms: 4.2x + -5.1x = -0.9x 0.8 + -0.9x = 0.4 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 0.8 + -0.9x = 0.4 + 0.0 0.8 + -0.9x = 0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.9x = 0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.9x = 0.4 + -0.8 -0.9x = 0.4 + -0.8 Combine like terms: 0.4 + -0.8 = -0.4 -0.9x = -0.4 Divide each side by '-0.9'. x = 0.4444444444 Simplifying x = 0.4444444444
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