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Simplifying 2(4x + 3) = 2(x + 15) Reorder the terms: 2(3 + 4x) = 2(x + 15) (3 * 2 + 4x * 2) = 2(x + 15) (6 + 8x) = 2(x + 15) Reorder the terms: 6 + 8x = 2(15 + x) 6 + 8x = (15 * 2 + x * 2) 6 + 8x = (30 + 2x) Solving 6 + 8x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 8x + -2x = 30 + 2x + -2x Combine like terms: 8x + -2x = 6x 6 + 6x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 6x = 30 + 0 6 + 6x = 30 Add '-6' to each side of the equation. 6 + -6 + 6x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 30 + -6 6x = 30 + -6 Combine like terms: 30 + -6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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