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Simplifying 5x + 3(x + 6) = 7x + 16 Reorder the terms: 5x + 3(6 + x) = 7x + 16 5x + (6 * 3 + x * 3) = 7x + 16 5x + (18 + 3x) = 7x + 16 Reorder the terms: 18 + 5x + 3x = 7x + 16 Combine like terms: 5x + 3x = 8x 18 + 8x = 7x + 16 Reorder the terms: 18 + 8x = 16 + 7x Solving 18 + 8x = 16 + 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. 18 + 8x + -7x = 16 + 7x + -7x Combine like terms: 8x + -7x = 1x 18 + 1x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 1x = 16 + 0 18 + 1x = 16 Add '-18' to each side of the equation. 18 + -18 + 1x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 16 + -18 1x = 16 + -18 Combine like terms: 16 + -18 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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