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Simplifying 0.15x + 0.5(x + -2) = (5x + -4) Reorder the terms: 0.15x + 0.5(-2 + x) = (5x + -4) 0.15x + (-2 * 0.5 + x * 0.5) = (5x + -4) 0.15x + (-1 + 0.5x) = (5x + -4) Reorder the terms: -1 + 0.15x + 0.5x = (5x + -4) Combine like terms: 0.15x + 0.5x = 0.65x -1 + 0.65x = (5x + -4) Reorder the terms: -1 + 0.65x = (-4 + 5x) Remove parenthesis around (-4 + 5x) -1 + 0.65x = -4 + 5x Solving -1 + 0.65x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 0.65x + -5x = -4 + 5x + -5x Combine like terms: 0.65x + -5x = -4.35x -1 + -4.35x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4.35x = -4 + 0 -1 + -4.35x = -4 Add '1' to each side of the equation. -1 + 1 + -4.35x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -4.35x = -4 + 1 -4.35x = -4 + 1 Combine like terms: -4 + 1 = -3 -4.35x = -3 Divide each side by '-4.35'. x = 0.6896551724 Simplifying x = 0.6896551724
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