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Simplifying (3x + -5) * 0.25 = (5x + -6) * 0.33 Reorder the terms: (-5 + 3x) * 0.25 = (5x + -6) * 0.33 Reorder the terms for easier multiplication: 0.25(-5 + 3x) = (5x + -6) * 0.33 (-5 * 0.25 + 3x * 0.25) = (5x + -6) * 0.33 (-1.25 + 0.75x) = (5x + -6) * 0.33 Reorder the terms: -1.25 + 0.75x = (-6 + 5x) * 0.33 Reorder the terms for easier multiplication: -1.25 + 0.75x = 0.33(-6 + 5x) -1.25 + 0.75x = (-6 * 0.33 + 5x * 0.33) -1.25 + 0.75x = (-1.98 + 1.65x) Solving -1.25 + 0.75x = -1.98 + 1.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65x' to each side of the equation. -1.25 + 0.75x + -1.65x = -1.98 + 1.65x + -1.65x Combine like terms: 0.75x + -1.65x = -0.9x -1.25 + -0.9x = -1.98 + 1.65x + -1.65x Combine like terms: 1.65x + -1.65x = 0.00 -1.25 + -0.9x = -1.98 + 0.00 -1.25 + -0.9x = -1.98 Add '1.25' to each side of the equation. -1.25 + 1.25 + -0.9x = -1.98 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -0.9x = -1.98 + 1.25 -0.9x = -1.98 + 1.25 Combine like terms: -1.98 + 1.25 = -0.73 -0.9x = -0.73 Divide each side by '-0.9'. x = 0.8111111111 Simplifying x = 0.8111111111
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