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Simplifying 0.25(0.666x + 14) = 0.75(0.333 + -0.6666x) Reorder the terms: 0.25(14 + 0.666x) = 0.75(0.333 + -0.6666x) (14 * 0.25 + 0.666x * 0.25) = 0.75(0.333 + -0.6666x) (3.5 + 0.1665x) = 0.75(0.333 + -0.6666x) 3.5 + 0.1665x = (0.333 * 0.75 + -0.6666x * 0.75) 3.5 + 0.1665x = (0.24975 + -0.49995x) Solving 3.5 + 0.1665x = 0.24975 + -0.49995x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.49995x' to each side of the equation. 3.5 + 0.1665x + 0.49995x = 0.24975 + -0.49995x + 0.49995x Combine like terms: 0.1665x + 0.49995x = 0.66645x 3.5 + 0.66645x = 0.24975 + -0.49995x + 0.49995x Combine like terms: -0.49995x + 0.49995x = 0.00000 3.5 + 0.66645x = 0.24975 + 0.00000 3.5 + 0.66645x = 0.24975 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.66645x = 0.24975 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.66645x = 0.24975 + -3.5 0.66645x = 0.24975 + -3.5 Combine like terms: 0.24975 + -3.5 = -3.25025 0.66645x = -3.25025 Divide each side by '0.66645'. x = -4.876960012 Simplifying x = -4.876960012
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