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Simplifying 3 + 0.1(7 + -1x) = 1.3x + -1(0.5x + -3.7) 3 + (7 * 0.1 + -1x * 0.1) = 1.3x + -1(0.5x + -3.7) 3 + (0.7 + -0.1x) = 1.3x + -1(0.5x + -3.7) Combine like terms: 3 + 0.7 = 3.7 3.7 + -0.1x = 1.3x + -1(0.5x + -3.7) Reorder the terms: 3.7 + -0.1x = 1.3x + -1(-3.7 + 0.5x) 3.7 + -0.1x = 1.3x + (-3.7 * -1 + 0.5x * -1) 3.7 + -0.1x = 1.3x + (3.7 + -0.5x) Reorder the terms: 3.7 + -0.1x = 3.7 + 1.3x + -0.5x Combine like terms: 1.3x + -0.5x = 0.8x 3.7 + -0.1x = 3.7 + 0.8x Add '-3.7' to each side of the equation. 3.7 + -3.7 + -0.1x = 3.7 + -3.7 + 0.8x Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -0.1x = 3.7 + -3.7 + 0.8x -0.1x = 3.7 + -3.7 + 0.8x Combine like terms: 3.7 + -3.7 = 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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