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Simplifying 2 + 0.1(9 + -1x) = 1.8x + -1(0.3x + -2.9) 2 + (9 * 0.1 + -1x * 0.1) = 1.8x + -1(0.3x + -2.9) 2 + (0.9 + -0.1x) = 1.8x + -1(0.3x + -2.9) Combine like terms: 2 + 0.9 = 2.9 2.9 + -0.1x = 1.8x + -1(0.3x + -2.9) Reorder the terms: 2.9 + -0.1x = 1.8x + -1(-2.9 + 0.3x) 2.9 + -0.1x = 1.8x + (-2.9 * -1 + 0.3x * -1) 2.9 + -0.1x = 1.8x + (2.9 + -0.3x) Reorder the terms: 2.9 + -0.1x = 2.9 + 1.8x + -0.3x Combine like terms: 1.8x + -0.3x = 1.5x 2.9 + -0.1x = 2.9 + 1.5x Add '-2.9' to each side of the equation. 2.9 + -2.9 + -0.1x = 2.9 + -2.9 + 1.5x Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -0.1x = 2.9 + -2.9 + 1.5x -0.1x = 2.9 + -2.9 + 1.5x Combine like terms: 2.9 + -2.9 = 0.0 -0.1x = 0.0 + 1.5x -0.1x = 1.5x Solving -0.1x = 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. -0.1x + -1.5x = 1.5x + -1.5x Combine like terms: -0.1x + -1.5x = -1.6x -1.6x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1.6x = 0.0 Divide each side by '-1.6'. x = 0 Simplifying x = 0
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