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Simplifying 2 + 0.1(5 + -1x) = 1.2x + -1(0.4x + -2.5) 2 + (5 * 0.1 + -1x * 0.1) = 1.2x + -1(0.4x + -2.5) 2 + (0.5 + -0.1x) = 1.2x + -1(0.4x + -2.5) Combine like terms: 2 + 0.5 = 2.5 2.5 + -0.1x = 1.2x + -1(0.4x + -2.5) Reorder the terms: 2.5 + -0.1x = 1.2x + -1(-2.5 + 0.4x) 2.5 + -0.1x = 1.2x + (-2.5 * -1 + 0.4x * -1) 2.5 + -0.1x = 1.2x + (2.5 + -0.4x) Reorder the terms: 2.5 + -0.1x = 2.5 + 1.2x + -0.4x Combine like terms: 1.2x + -0.4x = 0.8x 2.5 + -0.1x = 2.5 + 0.8x Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.1x = 2.5 + -2.5 + 0.8x Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.1x = 2.5 + -2.5 + 0.8x -0.1x = 2.5 + -2.5 + 0.8x Combine like terms: 2.5 + -2.5 = 0.0 -0.1x = 0.0 + 0.8x -0.1x = 0.8x Solving -0.1x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -0.1x + -0.8x = 0.8x + -0.8x Combine like terms: -0.1x + -0.8x = -0.9x -0.9x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.9x = 0.0 Divide each side by '-0.9'. x = 0 Simplifying x = 0
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