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Simplifying 2 + 0.1(8 + -1x) = 1.7x + -1(0.5x + -2.8) 2 + (8 * 0.1 + -1x * 0.1) = 1.7x + -1(0.5x + -2.8) 2 + (0.8 + -0.1x) = 1.7x + -1(0.5x + -2.8) Combine like terms: 2 + 0.8 = 2.8 2.8 + -0.1x = 1.7x + -1(0.5x + -2.8) Reorder the terms: 2.8 + -0.1x = 1.7x + -1(-2.8 + 0.5x) 2.8 + -0.1x = 1.7x + (-2.8 * -1 + 0.5x * -1) 2.8 + -0.1x = 1.7x + (2.8 + -0.5x) Reorder the terms: 2.8 + -0.1x = 2.8 + 1.7x + -0.5x Combine like terms: 1.7x + -0.5x = 1.2x 2.8 + -0.1x = 2.8 + 1.2x Add '-2.8' to each side of the equation. 2.8 + -2.8 + -0.1x = 2.8 + -2.8 + 1.2x Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -0.1x = 2.8 + -2.8 + 1.2x -0.1x = 2.8 + -2.8 + 1.2x Combine like terms: 2.8 + -2.8 = 0.0 -0.1x = 0.0 + 1.2x -0.1x = 1.2x Solving -0.1x = 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -0.1x + -1.2x = 1.2x + -1.2x Combine like terms: -0.1x + -1.2x = -1.3x -1.3x = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -1.3x = 0.0 Divide each side by '-1.3'. x = 0 Simplifying x = 0
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