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Simplifying 0.7(0.25x + -0.3) = 0.05(0.2x + -3) Reorder the terms: 0.7(-0.3 + 0.25x) = 0.05(0.2x + -3) (-0.3 * 0.7 + 0.25x * 0.7) = 0.05(0.2x + -3) (-0.21 + 0.175x) = 0.05(0.2x + -3) Reorder the terms: -0.21 + 0.175x = 0.05(-3 + 0.2x) -0.21 + 0.175x = (-3 * 0.05 + 0.2x * 0.05) -0.21 + 0.175x = (-0.15 + 0.01x) Solving -0.21 + 0.175x = -0.15 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. -0.21 + 0.175x + -0.01x = -0.15 + 0.01x + -0.01x Combine like terms: 0.175x + -0.01x = 0.165x -0.21 + 0.165x = -0.15 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 -0.21 + 0.165x = -0.15 + 0.00 -0.21 + 0.165x = -0.15 Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.165x = -0.15 + 0.21 Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.165x = -0.15 + 0.21 0.165x = -0.15 + 0.21 Combine like terms: -0.15 + 0.21 = 0.06 0.165x = 0.06 Divide each side by '0.165'. x = 0.3636363636 Simplifying x = 0.3636363636
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