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Simplifying 0.25(x + -1) + -0.1(x + 2) = 0.3 Reorder the terms: 0.25(-1 + x) + -0.1(x + 2) = 0.3 (-1 * 0.25 + x * 0.25) + -0.1(x + 2) = 0.3 (-0.25 + 0.25x) + -0.1(x + 2) = 0.3 Reorder the terms: -0.25 + 0.25x + -0.1(2 + x) = 0.3 -0.25 + 0.25x + (2 * -0.1 + x * -0.1) = 0.3 -0.25 + 0.25x + (-0.2 + -0.1x) = 0.3 Reorder the terms: -0.25 + -0.2 + 0.25x + -0.1x = 0.3 Combine like terms: -0.25 + -0.2 = -0.45 -0.45 + 0.25x + -0.1x = 0.3 Combine like terms: 0.25x + -0.1x = 0.15x -0.45 + 0.15x = 0.3 Solving -0.45 + 0.15x = 0.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.45' to each side of the equation. -0.45 + 0.45 + 0.15x = 0.3 + 0.45 Combine like terms: -0.45 + 0.45 = 0.00 0.00 + 0.15x = 0.3 + 0.45 0.15x = 0.3 + 0.45 Combine like terms: 0.3 + 0.45 = 0.75 0.15x = 0.75 Divide each side by '0.15'. x = 5 Simplifying x = 5
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