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Simplifying 7.1x + -5.077 = 0.42(6x + -5) Reorder the terms: -5.077 + 7.1x = 0.42(6x + -5) Reorder the terms: -5.077 + 7.1x = 0.42(-5 + 6x) -5.077 + 7.1x = (-5 * 0.42 + 6x * 0.42) -5.077 + 7.1x = (-2.1 + 2.52x) Solving -5.077 + 7.1x = -2.1 + 2.52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.52x' to each side of the equation. -5.077 + 7.1x + -2.52x = -2.1 + 2.52x + -2.52x Combine like terms: 7.1x + -2.52x = 4.58x -5.077 + 4.58x = -2.1 + 2.52x + -2.52x Combine like terms: 2.52x + -2.52x = 0.00 -5.077 + 4.58x = -2.1 + 0.00 -5.077 + 4.58x = -2.1 Add '5.077' to each side of the equation. -5.077 + 5.077 + 4.58x = -2.1 + 5.077 Combine like terms: -5.077 + 5.077 = 0.000 0.000 + 4.58x = -2.1 + 5.077 4.58x = -2.1 + 5.077 Combine like terms: -2.1 + 5.077 = 2.977 4.58x = 2.977 Divide each side by '4.58'. x = 0.65 Simplifying x = 0.65
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