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Simplifying ((x + -2) * 0.45) + -1(x * 0.35) = 4.40 Reorder the terms: ((-2 + x) * 0.45) + -1(x * 0.35) = 4.40 Reorder the terms for easier multiplication: (0.45(-2 + x)) + -1(x * 0.35) = 4.40 ((-2 * 0.45 + x * 0.45)) + -1(x * 0.35) = 4.40 ((-0.9 + 0.45x)) + -1(x * 0.35) = 4.40 (-0.9 + 0.45x) + -1(x * 0.35) = 4.40 Remove parenthesis around (-0.9 + 0.45x) -0.9 + 0.45x + -1(x * 0.35) = 4.40 Reorder the terms for easier multiplication: -0.9 + 0.45x + -1(0.35x) = 4.40 Remove parenthesis around (0.35x) -0.9 + 0.45x + -1 * 0.35x = 4.40 Multiply -1 * 0.35 -0.9 + 0.45x + -0.35x = 4.40 Combine like terms: 0.45x + -0.35x = 0.1x -0.9 + 0.1x = 4.40 Solving -0.9 + 0.1x = 4.40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.1x = 4.40 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.1x = 4.40 + 0.9 0.1x = 4.40 + 0.9 Combine like terms: 4.40 + 0.9 = 5.3 0.1x = 5.3 Divide each side by '0.1'. x = 53 Simplifying x = 53
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