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Simplifying 0.3x + -0.5(6 + -3x) = -0.8(x + -6) 0.3x + (6 * -0.5 + -3x * -0.5) = -0.8(x + -6) 0.3x + (-3 + 1.5x) = -0.8(x + -6) Reorder the terms: -3 + 0.3x + 1.5x = -0.8(x + -6) Combine like terms: 0.3x + 1.5x = 1.8x -3 + 1.8x = -0.8(x + -6) Reorder the terms: -3 + 1.8x = -0.8(-6 + x) -3 + 1.8x = (-6 * -0.8 + x * -0.8) -3 + 1.8x = (4.8 + -0.8x) Solving -3 + 1.8x = 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. -3 + 1.8x + 0.8x = 4.8 + -0.8x + 0.8x Combine like terms: 1.8x + 0.8x = 2.6x -3 + 2.6x = 4.8 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -3 + 2.6x = 4.8 + 0.0 -3 + 2.6x = 4.8 Add '3' to each side of the equation. -3 + 3 + 2.6x = 4.8 + 3 Combine like terms: -3 + 3 = 0 0 + 2.6x = 4.8 + 3 2.6x = 4.8 + 3 Combine like terms: 4.8 + 3 = 7.8 2.6x = 7.8 Divide each side by '2.6'. x = 3 Simplifying x = 3
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