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Simplifying 0.02(10x + -25) = 0.33(15x + -6) Reorder the terms: 0.02(-25 + 10x) = 0.33(15x + -6) (-25 * 0.02 + 10x * 0.02) = 0.33(15x + -6) (-0.5 + 0.2x) = 0.33(15x + -6) Reorder the terms: -0.5 + 0.2x = 0.33(-6 + 15x) -0.5 + 0.2x = (-6 * 0.33 + 15x * 0.33) -0.5 + 0.2x = (-1.98 + 4.95x) Solving -0.5 + 0.2x = -1.98 + 4.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.95x' to each side of the equation. -0.5 + 0.2x + -4.95x = -1.98 + 4.95x + -4.95x Combine like terms: 0.2x + -4.95x = -4.75x -0.5 + -4.75x = -1.98 + 4.95x + -4.95x Combine like terms: 4.95x + -4.95x = 0.00 -0.5 + -4.75x = -1.98 + 0.00 -0.5 + -4.75x = -1.98 Add '0.5' to each side of the equation. -0.5 + 0.5 + -4.75x = -1.98 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -4.75x = -1.98 + 0.5 -4.75x = -1.98 + 0.5 Combine like terms: -1.98 + 0.5 = -1.48 -4.75x = -1.48 Divide each side by '-4.75'. x = 0.3115789474 Simplifying x = 0.3115789474
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