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Simplifying -1(0.2x + 4) = -1(-1(2x + 0.5)) Reorder the terms: -1(4 + 0.2x) = -1(-1(2x + 0.5)) (4 * -1 + 0.2x * -1) = -1(-1(2x + 0.5)) (-4 + -0.2x) = -1(-1(2x + 0.5)) Reorder the terms: -4 + -0.2x = -1(-1(0.5 + 2x)) -4 + -0.2x = -1((0.5 * -1 + 2x * -1)) -4 + -0.2x = -1((-0.5 + -2x)) -4 + -0.2x = (-0.5 * -1 + -2x * -1) -4 + -0.2x = (0.5 + 2x) Solving -4 + -0.2x = 0.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -0.2x + -2x = 0.5 + 2x + -2x Combine like terms: -0.2x + -2x = -2.2x -4 + -2.2x = 0.5 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -2.2x = 0.5 + 0 -4 + -2.2x = 0.5 Add '4' to each side of the equation. -4 + 4 + -2.2x = 0.5 + 4 Combine like terms: -4 + 4 = 0 0 + -2.2x = 0.5 + 4 -2.2x = 0.5 + 4 Combine like terms: 0.5 + 4 = 4.5 -2.2x = 4.5 Divide each side by '-2.2'. x = -2.045454545 Simplifying x = -2.045454545
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