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Simplifying 0.5(x + -2) + -0.15(x + 3) = 2.4 Reorder the terms: 0.5(-2 + x) + -0.15(x + 3) = 2.4 (-2 * 0.5 + x * 0.5) + -0.15(x + 3) = 2.4 (-1 + 0.5x) + -0.15(x + 3) = 2.4 Reorder the terms: -1 + 0.5x + -0.15(3 + x) = 2.4 -1 + 0.5x + (3 * -0.15 + x * -0.15) = 2.4 -1 + 0.5x + (-0.45 + -0.15x) = 2.4 Reorder the terms: -1 + -0.45 + 0.5x + -0.15x = 2.4 Combine like terms: -1 + -0.45 = -1.45 -1.45 + 0.5x + -0.15x = 2.4 Combine like terms: 0.5x + -0.15x = 0.35x -1.45 + 0.35x = 2.4 Solving -1.45 + 0.35x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.45' to each side of the equation. -1.45 + 1.45 + 0.35x = 2.4 + 1.45 Combine like terms: -1.45 + 1.45 = 0.00 0.00 + 0.35x = 2.4 + 1.45 0.35x = 2.4 + 1.45 Combine like terms: 2.4 + 1.45 = 3.85 0.35x = 3.85 Divide each side by '0.35'. x = 11 Simplifying x = 11
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