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Simplifying 0.18x + 0.9(x + -3) = 0.01(5x + -5) Reorder the terms: 0.18x + 0.9(-3 + x) = 0.01(5x + -5) 0.18x + (-3 * 0.9 + x * 0.9) = 0.01(5x + -5) 0.18x + (-2.7 + 0.9x) = 0.01(5x + -5) Reorder the terms: -2.7 + 0.18x + 0.9x = 0.01(5x + -5) Combine like terms: 0.18x + 0.9x = 1.08x -2.7 + 1.08x = 0.01(5x + -5) Reorder the terms: -2.7 + 1.08x = 0.01(-5 + 5x) -2.7 + 1.08x = (-5 * 0.01 + 5x * 0.01) -2.7 + 1.08x = (-0.05 + 0.05x) Solving -2.7 + 1.08x = -0.05 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -2.7 + 1.08x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 1.08x + -0.05x = 1.03x -2.7 + 1.03x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.7 + 1.03x = -0.05 + 0.00 -2.7 + 1.03x = -0.05 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1.03x = -0.05 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1.03x = -0.05 + 2.7 1.03x = -0.05 + 2.7 Combine like terms: -0.05 + 2.7 = 2.65 1.03x = 2.65 Divide each side by '1.03'. x = 2.572815534 Simplifying x = 2.572815534
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