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Simplifying -0.1x + 2.77 = -0.3x + 1.77 Reorder the terms: 2.77 + -0.1x = -0.3x + 1.77 Reorder the terms: 2.77 + -0.1x = 1.77 + -0.3x Solving 2.77 + -0.1x = 1.77 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 2.77 + -0.1x + 0.3x = 1.77 + -0.3x + 0.3x Combine like terms: -0.1x + 0.3x = 0.2x 2.77 + 0.2x = 1.77 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 2.77 + 0.2x = 1.77 + 0.0 2.77 + 0.2x = 1.77 Add '-2.77' to each side of the equation. 2.77 + -2.77 + 0.2x = 1.77 + -2.77 Combine like terms: 2.77 + -2.77 = 0.00 0.00 + 0.2x = 1.77 + -2.77 0.2x = 1.77 + -2.77 Combine like terms: 1.77 + -2.77 = -1 0.2x = -1 Divide each side by '0.2'. x = -5 Simplifying x = -5
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