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Simplifying 0.18x + 0.7(x + -5) = 0.01(2x + -5) Reorder the terms: 0.18x + 0.7(-5 + x) = 0.01(2x + -5) 0.18x + (-5 * 0.7 + x * 0.7) = 0.01(2x + -5) 0.18x + (-3.5 + 0.7x) = 0.01(2x + -5) Reorder the terms: -3.5 + 0.18x + 0.7x = 0.01(2x + -5) Combine like terms: 0.18x + 0.7x = 0.88x -3.5 + 0.88x = 0.01(2x + -5) Reorder the terms: -3.5 + 0.88x = 0.01(-5 + 2x) -3.5 + 0.88x = (-5 * 0.01 + 2x * 0.01) -3.5 + 0.88x = (-0.05 + 0.02x) Solving -3.5 + 0.88x = -0.05 + 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. -3.5 + 0.88x + -0.02x = -0.05 + 0.02x + -0.02x Combine like terms: 0.88x + -0.02x = 0.86x -3.5 + 0.86x = -0.05 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -3.5 + 0.86x = -0.05 + 0.00 -3.5 + 0.86x = -0.05 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.86x = -0.05 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.86x = -0.05 + 3.5 0.86x = -0.05 + 3.5 Combine like terms: -0.05 + 3.5 = 3.45 0.86x = 3.45 Divide each side by '0.86'. x = 4.011627907 Simplifying x = 4.011627907
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