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Simplifying -0.3x + 1.77 = -0.1x + 7.57 Reorder the terms: 1.77 + -0.3x = -0.1x + 7.57 Reorder the terms: 1.77 + -0.3x = 7.57 + -0.1x Solving 1.77 + -0.3x = 7.57 + -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. 1.77 + -0.3x + 0.1x = 7.57 + -0.1x + 0.1x Combine like terms: -0.3x + 0.1x = -0.2x 1.77 + -0.2x = 7.57 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 1.77 + -0.2x = 7.57 + 0.0 1.77 + -0.2x = 7.57 Add '-1.77' to each side of the equation. 1.77 + -1.77 + -0.2x = 7.57 + -1.77 Combine like terms: 1.77 + -1.77 = 0.00 0.00 + -0.2x = 7.57 + -1.77 -0.2x = 7.57 + -1.77 Combine like terms: 7.57 + -1.77 = 5.8 -0.2x = 5.8 Divide each side by '-0.2'. x = -29 Simplifying x = -29
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