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Simplifying 10x + 3 = 0.5(8x + 30) Reorder the terms: 3 + 10x = 0.5(8x + 30) Reorder the terms: 3 + 10x = 0.5(30 + 8x) 3 + 10x = (30 * 0.5 + 8x * 0.5) 3 + 10x = (15 + 4x) Solving 3 + 10x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 10x + -4x = 15 + 4x + -4x Combine like terms: 10x + -4x = 6x 3 + 6x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 6x = 15 + 0 3 + 6x = 15 Add '-3' to each side of the equation. 3 + -3 + 6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 15 + -3 6x = 15 + -3 Combine like terms: 15 + -3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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