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Simplifying 0.18x + 0.9(x + -2) = 0.01(3x + -3) Reorder the terms: 0.18x + 0.9(-2 + x) = 0.01(3x + -3) 0.18x + (-2 * 0.9 + x * 0.9) = 0.01(3x + -3) 0.18x + (-1.8 + 0.9x) = 0.01(3x + -3) Reorder the terms: -1.8 + 0.18x + 0.9x = 0.01(3x + -3) Combine like terms: 0.18x + 0.9x = 1.08x -1.8 + 1.08x = 0.01(3x + -3) Reorder the terms: -1.8 + 1.08x = 0.01(-3 + 3x) -1.8 + 1.08x = (-3 * 0.01 + 3x * 0.01) -1.8 + 1.08x = (-0.03 + 0.03x) Solving -1.8 + 1.08x = -0.03 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1.8 + 1.08x + -0.03x = -0.03 + 0.03x + -0.03x Combine like terms: 1.08x + -0.03x = 1.05x -1.8 + 1.05x = -0.03 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.8 + 1.05x = -0.03 + 0.00 -1.8 + 1.05x = -0.03 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1.05x = -0.03 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1.05x = -0.03 + 1.8 1.05x = -0.03 + 1.8 Combine like terms: -0.03 + 1.8 = 1.77 1.05x = 1.77 Divide each side by '1.05'. x = 1.685714286 Simplifying x = 1.685714286
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