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Simplifying 12x + 4 = 3(2x + 5) + -8 Reorder the terms: 4 + 12x = 3(2x + 5) + -8 Reorder the terms: 4 + 12x = 3(5 + 2x) + -8 4 + 12x = (5 * 3 + 2x * 3) + -8 4 + 12x = (15 + 6x) + -8 Reorder the terms: 4 + 12x = 15 + -8 + 6x Combine like terms: 15 + -8 = 7 4 + 12x = 7 + 6x Solving 4 + 12x = 7 + 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. 4 + 12x + -6x = 7 + 6x + -6x Combine like terms: 12x + -6x = 6x 4 + 6x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 6x = 7 + 0 4 + 6x = 7 Add '-4' to each side of the equation. 4 + -4 + 6x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 7 + -4 6x = 7 + -4 Combine like terms: 7 + -4 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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