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Simplifying 0.6x + -0.2(5 + -4x) = 0.8(x + -7) 0.6x + (5 * -0.2 + -4x * -0.2) = 0.8(x + -7) 0.6x + (-1 + 0.8x) = 0.8(x + -7) Reorder the terms: -1 + 0.6x + 0.8x = 0.8(x + -7) Combine like terms: 0.6x + 0.8x = 1.4x -1 + 1.4x = 0.8(x + -7) Reorder the terms: -1 + 1.4x = 0.8(-7 + x) -1 + 1.4x = (-7 * 0.8 + x * 0.8) -1 + 1.4x = (-5.6 + 0.8x) Solving -1 + 1.4x = -5.6 + 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. -1 + 1.4x + -0.8x = -5.6 + 0.8x + -0.8x Combine like terms: 1.4x + -0.8x = 0.6x -1 + 0.6x = -5.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -1 + 0.6x = -5.6 + 0.0 -1 + 0.6x = -5.6 Add '1' to each side of the equation. -1 + 1 + 0.6x = -5.6 + 1 Combine like terms: -1 + 1 = 0 0 + 0.6x = -5.6 + 1 0.6x = -5.6 + 1 Combine like terms: -5.6 + 1 = -4.6 0.6x = -4.6 Divide each side by '0.6'. x = -7.666666667 Simplifying x = -7.666666667
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