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Simplifying 0.7x + -0.5(6 + -4x) = -0.8(x + -5) 0.7x + (6 * -0.5 + -4x * -0.5) = -0.8(x + -5) 0.7x + (-3 + 2x) = -0.8(x + -5) Reorder the terms: -3 + 0.7x + 2x = -0.8(x + -5) Combine like terms: 0.7x + 2x = 2.7x -3 + 2.7x = -0.8(x + -5) Reorder the terms: -3 + 2.7x = -0.8(-5 + x) -3 + 2.7x = (-5 * -0.8 + x * -0.8) -3 + 2.7x = (4 + -0.8x) Solving -3 + 2.7x = 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. -3 + 2.7x + 0.8x = 4 + -0.8x + 0.8x Combine like terms: 2.7x + 0.8x = 3.5x -3 + 3.5x = 4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -3 + 3.5x = 4 + 0.0 -3 + 3.5x = 4 Add '3' to each side of the equation. -3 + 3 + 3.5x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 3.5x = 4 + 3 3.5x = 4 + 3 Combine like terms: 4 + 3 = 7 3.5x = 7 Divide each side by '3.5'. x = 2 Simplifying x = 2
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