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Simplifying 8x + 10 = 0.5(12x + 40) Reorder the terms: 10 + 8x = 0.5(12x + 40) Reorder the terms: 10 + 8x = 0.5(40 + 12x) 10 + 8x = (40 * 0.5 + 12x * 0.5) 10 + 8x = (20 + 6x) Solving 10 + 8x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 8x + -6x = 20 + 6x + -6x Combine like terms: 8x + -6x = 2x 10 + 2x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 2x = 20 + 0 10 + 2x = 20 Add '-10' to each side of the equation. 10 + -10 + 2x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 20 + -10 2x = 20 + -10 Combine like terms: 20 + -10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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