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Simplifying -0.3x + 3.77 = 0.1x + 2.97 Reorder the terms: 3.77 + -0.3x = 0.1x + 2.97 Reorder the terms: 3.77 + -0.3x = 2.97 + 0.1x Solving 3.77 + -0.3x = 2.97 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 3.77 + -0.3x + -0.1x = 2.97 + 0.1x + -0.1x Combine like terms: -0.3x + -0.1x = -0.4x 3.77 + -0.4x = 2.97 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 3.77 + -0.4x = 2.97 + 0.0 3.77 + -0.4x = 2.97 Add '-3.77' to each side of the equation. 3.77 + -3.77 + -0.4x = 2.97 + -3.77 Combine like terms: 3.77 + -3.77 = 0.00 0.00 + -0.4x = 2.97 + -3.77 -0.4x = 2.97 + -3.77 Combine like terms: 2.97 + -3.77 = -0.8 -0.4x = -0.8 Divide each side by '-0.4'. x = 2 Simplifying x = 2
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