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Simplifying 0.9x + -0.3(10 + -3x) = -0.1(x + -8) 0.9x + (10 * -0.3 + -3x * -0.3) = -0.1(x + -8) 0.9x + (-3 + 0.9x) = -0.1(x + -8) Reorder the terms: -3 + 0.9x + 0.9x = -0.1(x + -8) Combine like terms: 0.9x + 0.9x = 1.8x -3 + 1.8x = -0.1(x + -8) Reorder the terms: -3 + 1.8x = -0.1(-8 + x) -3 + 1.8x = (-8 * -0.1 + x * -0.1) -3 + 1.8x = (0.8 + -0.1x) Solving -3 + 1.8x = 0.8 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -3 + 1.8x + 0.1x = 0.8 + -0.1x + 0.1x Combine like terms: 1.8x + 0.1x = 1.9x -3 + 1.9x = 0.8 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -3 + 1.9x = 0.8 + 0.0 -3 + 1.9x = 0.8 Add '3' to each side of the equation. -3 + 3 + 1.9x = 0.8 + 3 Combine like terms: -3 + 3 = 0 0 + 1.9x = 0.8 + 3 1.9x = 0.8 + 3 Combine like terms: 0.8 + 3 = 3.8 1.9x = 3.8 Divide each side by '1.9'. x = 2 Simplifying x = 2
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