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Simplifying 0.8x + -0.1 = 0.5 + -0.2(4 + -5x) Reorder the terms: -0.1 + 0.8x = 0.5 + -0.2(4 + -5x) -0.1 + 0.8x = 0.5 + (4 * -0.2 + -5x * -0.2) -0.1 + 0.8x = 0.5 + (-0.8 + 1x) Combine like terms: 0.5 + -0.8 = -0.3 -0.1 + 0.8x = -0.3 + 1x Solving -0.1 + 0.8x = -0.3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.1 + 0.8x + -1x = -0.3 + 1x + -1x Combine like terms: 0.8x + -1x = -0.2x -0.1 + -0.2x = -0.3 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.1 + -0.2x = -0.3 + 0 -0.1 + -0.2x = -0.3 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.2x = -0.3 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.2x = -0.3 + 0.1 -0.2x = -0.3 + 0.1 Combine like terms: -0.3 + 0.1 = -0.2 -0.2x = -0.2 Divide each side by '-0.2'. x = 1 Simplifying x = 1
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