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Simplifying 0.25(x + 3) + -0.45(x + -3) = 0.30 Reorder the terms: 0.25(3 + x) + -0.45(x + -3) = 0.30 (3 * 0.25 + x * 0.25) + -0.45(x + -3) = 0.30 (0.75 + 0.25x) + -0.45(x + -3) = 0.30 Reorder the terms: 0.75 + 0.25x + -0.45(-3 + x) = 0.30 0.75 + 0.25x + (-3 * -0.45 + x * -0.45) = 0.30 0.75 + 0.25x + (1.35 + -0.45x) = 0.30 Reorder the terms: 0.75 + 1.35 + 0.25x + -0.45x = 0.30 Combine like terms: 0.75 + 1.35 = 2.1 2.1 + 0.25x + -0.45x = 0.30 Combine like terms: 0.25x + -0.45x = -0.2x 2.1 + -0.2x = 0.30 Solving 2.1 + -0.2x = 0.30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.2x = 0.30 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.2x = 0.30 + -2.1 -0.2x = 0.30 + -2.1 Combine like terms: 0.30 + -2.1 = -1.8 -0.2x = -1.8 Divide each side by '-0.2'. x = 9 Simplifying x = 9
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