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Simplifying 0.15x + 0.9(x + -5) = 0.01(2x + -4) Reorder the terms: 0.15x + 0.9(-5 + x) = 0.01(2x + -4) 0.15x + (-5 * 0.9 + x * 0.9) = 0.01(2x + -4) 0.15x + (-4.5 + 0.9x) = 0.01(2x + -4) Reorder the terms: -4.5 + 0.15x + 0.9x = 0.01(2x + -4) Combine like terms: 0.15x + 0.9x = 1.05x -4.5 + 1.05x = 0.01(2x + -4) Reorder the terms: -4.5 + 1.05x = 0.01(-4 + 2x) -4.5 + 1.05x = (-4 * 0.01 + 2x * 0.01) -4.5 + 1.05x = (-0.04 + 0.02x) Solving -4.5 + 1.05x = -0.04 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -4.5 + 1.05x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: 1.05x + -0.02x = 1.03x -4.5 + 1.03x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -4.5 + 1.03x = -0.04 + 0.00 -4.5 + 1.03x = -0.04 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1.03x = -0.04 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1.03x = -0.04 + 4.5 1.03x = -0.04 + 4.5 Combine like terms: -0.04 + 4.5 = 4.46 1.03x = 4.46 Divide each side by '1.03'. x = 4.330097087 Simplifying x = 4.330097087
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