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Simplifying 4(1 + 3x) = 6x + 10 (1 * 4 + 3x * 4) = 6x + 10 (4 + 12x) = 6x + 10 Reorder the terms: 4 + 12x = 10 + 6x Solving 4 + 12x = 10 + 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 = 10 + 6x + -6x Combine like terms: 12x + -6x = 6x 4 + 6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 6x = 10 + 0 4 + 6x = 10 Add '-4' to each side of the equation. 4 + -4 + 6x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 10 + -4 6x = 10 + -4 Combine like terms: 10 + -4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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