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Simplifying 2(5x + 3) = 12x + 3 Reorder the terms: 2(3 + 5x) = 12x + 3 (3 * 2 + 5x * 2) = 12x + 3 (6 + 10x) = 12x + 3 Reorder the terms: 6 + 10x = 3 + 12x Solving 6 + 10x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 10x + -12x = 3 + 12x + -12x Combine like terms: 10x + -12x = -2x 6 + -2x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -2x = 3 + 0 6 + -2x = 3 Add '-6' to each side of the equation. 6 + -6 + -2x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 3 + -6 -2x = 3 + -6 Combine like terms: 3 + -6 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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