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Simplifying 100 = 0.5(x + 12) * 5 Reorder the terms: 100 = 0.5(12 + x) * 5 Reorder the terms for easier multiplication: 100 = 0.5 * 5(12 + x) Multiply 0.5 * 5 100 = 2.5(12 + x) 100 = (12 * 2.5 + x * 2.5) 100 = (30 + 2.5x) Solving 100 = 30 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 100 + -2.5x = 30 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 100 + -2.5x = 30 + 0.0 100 + -2.5x = 30 Add '-100' to each side of the equation. 100 + -100 + -2.5x = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -2.5x = 30 + -100 -2.5x = 30 + -100 Combine like terms: 30 + -100 = -70 -2.5x = -70 Divide each side by '-2.5'. x = 28 Simplifying x = 28
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