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Simplifying 3(2x + 6) + 7x = 4x + 66 + 3x Reorder the terms: 3(6 + 2x) + 7x = 4x + 66 + 3x (6 * 3 + 2x * 3) + 7x = 4x + 66 + 3x (18 + 6x) + 7x = 4x + 66 + 3x Combine like terms: 6x + 7x = 13x 18 + 13x = 4x + 66 + 3x Reorder the terms: 18 + 13x = 66 + 4x + 3x Combine like terms: 4x + 3x = 7x 18 + 13x = 66 + 7x Solving 18 + 13x = 66 + 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 + 13x + -7x = 66 + 7x + -7x Combine like terms: 13x + -7x = 6x 18 + 6x = 66 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 6x = 66 + 0 18 + 6x = 66 Add '-18' to each side of the equation. 18 + -18 + 6x = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 66 + -18 6x = 66 + -18 Combine like terms: 66 + -18 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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