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Simplifying 0.11x + 0.9(x + -5) = 0.01(3x + -4) Reorder the terms: 0.11x + 0.9(-5 + x) = 0.01(3x + -4) 0.11x + (-5 * 0.9 + x * 0.9) = 0.01(3x + -4) 0.11x + (-4.5 + 0.9x) = 0.01(3x + -4) Reorder the terms: -4.5 + 0.11x + 0.9x = 0.01(3x + -4) Combine like terms: 0.11x + 0.9x = 1.01x -4.5 + 1.01x = 0.01(3x + -4) Reorder the terms: -4.5 + 1.01x = 0.01(-4 + 3x) -4.5 + 1.01x = (-4 * 0.01 + 3x * 0.01) -4.5 + 1.01x = (-0.04 + 0.03x) Solving -4.5 + 1.01x = -0.04 + 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. -4.5 + 1.01x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 1.01x + -0.03x = 0.98x -4.5 + 0.98x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -4.5 + 0.98x = -0.04 + 0.00 -4.5 + 0.98x = -0.04 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.98x = -0.04 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.98x = -0.04 + 4.5 0.98x = -0.04 + 4.5 Combine like terms: -0.04 + 4.5 = 4.46 0.98x = 4.46 Divide each side by '0.98'. x = 4.551020408 Simplifying x = 4.551020408
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