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Simplifying 0.1x + -0.2(10 + -3x) = -0.8(x + -5) 0.1x + (10 * -0.2 + -3x * -0.2) = -0.8(x + -5) 0.1x + (-2 + 0.6x) = -0.8(x + -5) Reorder the terms: -2 + 0.1x + 0.6x = -0.8(x + -5) Combine like terms: 0.1x + 0.6x = 0.7x -2 + 0.7x = -0.8(x + -5) Reorder the terms: -2 + 0.7x = -0.8(-5 + x) -2 + 0.7x = (-5 * -0.8 + x * -0.8) -2 + 0.7x = (4 + -0.8x) Solving -2 + 0.7x = 4 + -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. -2 + 0.7x + 0.8x = 4 + -0.8x + 0.8x Combine like terms: 0.7x + 0.8x = 1.5x -2 + 1.5x = 4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -2 + 1.5x = 4 + 0.0 -2 + 1.5x = 4 Add '2' to each side of the equation. -2 + 2 + 1.5x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1.5x = 4 + 2 1.5x = 4 + 2 Combine like terms: 4 + 2 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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