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Simplifying 0.25(8x + -20) = 0.33(15x + -6) Reorder the terms: 0.25(-20 + 8x) = 0.33(15x + -6) (-20 * 0.25 + 8x * 0.25) = 0.33(15x + -6) (-5 + 2x) = 0.33(15x + -6) Reorder the terms: -5 + 2x = 0.33(-6 + 15x) -5 + 2x = (-6 * 0.33 + 15x * 0.33) -5 + 2x = (-1.98 + 4.95x) Solving -5 + 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. -5 + 2x + -4.95x = -1.98 + 4.95x + -4.95x Combine like terms: 2x + -4.95x = -2.95x -5 + -2.95x = -1.98 + 4.95x + -4.95x Combine like terms: 4.95x + -4.95x = 0.00 -5 + -2.95x = -1.98 + 0.00 -5 + -2.95x = -1.98 Add '5' to each side of the equation. -5 + 5 + -2.95x = -1.98 + 5 Combine like terms: -5 + 5 = 0 0 + -2.95x = -1.98 + 5 -2.95x = -1.98 + 5 Combine like terms: -1.98 + 5 = 3.02 -2.95x = 3.02 Divide each side by '-2.95'. x = -1.023728814 Simplifying x = -1.023728814
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