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Simplifying 0.02(5x + -4) = 0.03(x + -3) + 0.05 Reorder the terms: 0.02(-4 + 5x) = 0.03(x + -3) + 0.05 (-4 * 0.02 + 5x * 0.02) = 0.03(x + -3) + 0.05 (-0.08 + 0.1x) = 0.03(x + -3) + 0.05 Reorder the terms: -0.08 + 0.1x = 0.03(-3 + x) + 0.05 -0.08 + 0.1x = (-3 * 0.03 + x * 0.03) + 0.05 -0.08 + 0.1x = (-0.09 + 0.03x) + 0.05 Reorder the terms: -0.08 + 0.1x = -0.09 + 0.05 + 0.03x Combine like terms: -0.09 + 0.05 = -0.04 -0.08 + 0.1x = -0.04 + 0.03x Solving -0.08 + 0.1x = -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. -0.08 + 0.1x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.1x + -0.03x = 0.07x -0.08 + 0.07x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.08 + 0.07x = -0.04 + 0.00 -0.08 + 0.07x = -0.04 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.07x = -0.04 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.07x = -0.04 + 0.08 0.07x = -0.04 + 0.08 Combine like terms: -0.04 + 0.08 = 0.04 0.07x = 0.04 Divide each side by '0.07'. x = 0.5714285714 Simplifying x = 0.5714285714
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