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Simplifying 0.6x + 0.1 = 0.9x + -1.1 Reorder the terms: 0.1 + 0.6x = 0.9x + -1.1 Reorder the terms: 0.1 + 0.6x = -1.1 + 0.9x Solving 0.1 + 0.6x = -1.1 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.1 + 0.6x + -0.9x = -1.1 + 0.9x + -0.9x Combine like terms: 0.6x + -0.9x = -0.3x 0.1 + -0.3x = -1.1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.1 + -0.3x = -1.1 + 0.0 0.1 + -0.3x = -1.1 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.3x = -1.1 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.3x = -1.1 + -0.1 -0.3x = -1.1 + -0.1 Combine like terms: -1.1 + -0.1 = -1.2 -0.3x = -1.2 Divide each side by '-0.3'. x = 4 Simplifying x = 4
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