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Simplifying x(0.25) + 12 = x(0.33) + -5 Reorder the terms for easier multiplication: 0.25x + 12 = x(0.33) + -5 Reorder the terms: 12 + 0.25x = x(0.33) + -5 Reorder the terms for easier multiplication: 12 + 0.25x = 0.33x + -5 Reorder the terms: 12 + 0.25x = -5 + 0.33x Solving 12 + 0.25x = -5 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 12 + 0.25x + -0.33x = -5 + 0.33x + -0.33x Combine like terms: 0.25x + -0.33x = -0.08x 12 + -0.08x = -5 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 12 + -0.08x = -5 + 0.00 12 + -0.08x = -5 Add '-12' to each side of the equation. 12 + -12 + -0.08x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -0.08x = -5 + -12 -0.08x = -5 + -12 Combine like terms: -5 + -12 = -17 -0.08x = -17 Divide each side by '-0.08'. x = 212.5 Simplifying x = 212.5
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