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Simplifying 2(4x + 15) = 7(x + 2) Reorder the terms: 2(15 + 4x) = 7(x + 2) (15 * 2 + 4x * 2) = 7(x + 2) (30 + 8x) = 7(x + 2) Reorder the terms: 30 + 8x = 7(2 + x) 30 + 8x = (2 * 7 + x * 7) 30 + 8x = (14 + 7x) Solving 30 + 8x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 8x + -7x = 14 + 7x + -7x Combine like terms: 8x + -7x = 1x 30 + 1x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 1x = 14 + 0 30 + 1x = 14 Add '-30' to each side of the equation. 30 + -30 + 1x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 14 + -30 1x = 14 + -30 Combine like terms: 14 + -30 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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