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Simplifying 0.8x + -0.4(7 + -5x) = 0.7(x + -6) 0.8x + (7 * -0.4 + -5x * -0.4) = 0.7(x + -6) 0.8x + (-2.8 + 2x) = 0.7(x + -6) Reorder the terms: -2.8 + 0.8x + 2x = 0.7(x + -6) Combine like terms: 0.8x + 2x = 2.8x -2.8 + 2.8x = 0.7(x + -6) Reorder the terms: -2.8 + 2.8x = 0.7(-6 + x) -2.8 + 2.8x = (-6 * 0.7 + x * 0.7) -2.8 + 2.8x = (-4.2 + 0.7x) Solving -2.8 + 2.8x = -4.2 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -2.8 + 2.8x + -0.7x = -4.2 + 0.7x + -0.7x Combine like terms: 2.8x + -0.7x = 2.1x -2.8 + 2.1x = -4.2 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -2.8 + 2.1x = -4.2 + 0.0 -2.8 + 2.1x = -4.2 Add '2.8' to each side of the equation. -2.8 + 2.8 + 2.1x = -4.2 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 2.1x = -4.2 + 2.8 2.1x = -4.2 + 2.8 Combine like terms: -4.2 + 2.8 = -1.4 2.1x = -1.4 Divide each side by '2.1'. x = -0.6666666667 Simplifying x = -0.6666666667
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