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Simplifying 0.6x + -0.4(16 + -3x) = -0.8(x + -5) 0.6x + (16 * -0.4 + -3x * -0.4) = -0.8(x + -5) 0.6x + (-6.4 + 1.2x) = -0.8(x + -5) Reorder the terms: -6.4 + 0.6x + 1.2x = -0.8(x + -5) Combine like terms: 0.6x + 1.2x = 1.8x -6.4 + 1.8x = -0.8(x + -5) Reorder the terms: -6.4 + 1.8x = -0.8(-5 + x) -6.4 + 1.8x = (-5 * -0.8 + x * -0.8) -6.4 + 1.8x = (4 + -0.8x) Solving -6.4 + 1.8x = 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. -6.4 + 1.8x + 0.8x = 4 + -0.8x + 0.8x Combine like terms: 1.8x + 0.8x = 2.6x -6.4 + 2.6x = 4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -6.4 + 2.6x = 4 + 0.0 -6.4 + 2.6x = 4 Add '6.4' to each side of the equation. -6.4 + 6.4 + 2.6x = 4 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 2.6x = 4 + 6.4 2.6x = 4 + 6.4 Combine like terms: 4 + 6.4 = 10.4 2.6x = 10.4 Divide each side by '2.6'. x = 4 Simplifying x = 4
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