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Simplifying 0.9x + -0.1 = 0.8 + -0.3(5 + -5x) Reorder the terms: -0.1 + 0.9x = 0.8 + -0.3(5 + -5x) -0.1 + 0.9x = 0.8 + (5 * -0.3 + -5x * -0.3) -0.1 + 0.9x = 0.8 + (-1.5 + 1.5x) Combine like terms: 0.8 + -1.5 = -0.7 -0.1 + 0.9x = -0.7 + 1.5x Solving -0.1 + 0.9x = -0.7 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -0.1 + 0.9x + -1.5x = -0.7 + 1.5x + -1.5x Combine like terms: 0.9x + -1.5x = -0.6x -0.1 + -0.6x = -0.7 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.1 + -0.6x = -0.7 + 0.0 -0.1 + -0.6x = -0.7 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.6x = -0.7 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.6x = -0.7 + 0.1 -0.6x = -0.7 + 0.1 Combine like terms: -0.7 + 0.1 = -0.6 -0.6x = -0.6 Divide each side by '-0.6'. x = 1 Simplifying x = 1
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