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Simplifying 0.1x + -0.5(4 + -5x) = -0.8(x + -6) 0.1x + (4 * -0.5 + -5x * -0.5) = -0.8(x + -6) 0.1x + (-2 + 2.5x) = -0.8(x + -6) Reorder the terms: -2 + 0.1x + 2.5x = -0.8(x + -6) Combine like terms: 0.1x + 2.5x = 2.6x -2 + 2.6x = -0.8(x + -6) Reorder the terms: -2 + 2.6x = -0.8(-6 + x) -2 + 2.6x = (-6 * -0.8 + x * -0.8) -2 + 2.6x = (4.8 + -0.8x) Solving -2 + 2.6x = 4.8 + -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 + 2.6x + 0.8x = 4.8 + -0.8x + 0.8x Combine like terms: 2.6x + 0.8x = 3.4x -2 + 3.4x = 4.8 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -2 + 3.4x = 4.8 + 0.0 -2 + 3.4x = 4.8 Add '2' to each side of the equation. -2 + 2 + 3.4x = 4.8 + 2 Combine like terms: -2 + 2 = 0 0 + 3.4x = 4.8 + 2 3.4x = 4.8 + 2 Combine like terms: 4.8 + 2 = 6.8 3.4x = 6.8 Divide each side by '3.4'. x = 2 Simplifying x = 2
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