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Simplifying 0.3x + -0.8(16 + -5x) = -0.1(x + -4) 0.3x + (16 * -0.8 + -5x * -0.8) = -0.1(x + -4) 0.3x + (-12.8 + 4x) = -0.1(x + -4) Reorder the terms: -12.8 + 0.3x + 4x = -0.1(x + -4) Combine like terms: 0.3x + 4x = 4.3x -12.8 + 4.3x = -0.1(x + -4) Reorder the terms: -12.8 + 4.3x = -0.1(-4 + x) -12.8 + 4.3x = (-4 * -0.1 + x * -0.1) -12.8 + 4.3x = (0.4 + -0.1x) Solving -12.8 + 4.3x = 0.4 + -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. -12.8 + 4.3x + 0.1x = 0.4 + -0.1x + 0.1x Combine like terms: 4.3x + 0.1x = 4.4x -12.8 + 4.4x = 0.4 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -12.8 + 4.4x = 0.4 + 0.0 -12.8 + 4.4x = 0.4 Add '12.8' to each side of the equation. -12.8 + 12.8 + 4.4x = 0.4 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + 4.4x = 0.4 + 12.8 4.4x = 0.4 + 12.8 Combine like terms: 0.4 + 12.8 = 13.2 4.4x = 13.2 Divide each side by '4.4'. x = 3 Simplifying x = 3
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