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Simplifying 5(6x + 6) + 3x = 7x + -22 Reorder the terms: 5(6 + 6x) + 3x = 7x + -22 (6 * 5 + 6x * 5) + 3x = 7x + -22 (30 + 30x) + 3x = 7x + -22 Combine like terms: 30x + 3x = 33x 30 + 33x = 7x + -22 Reorder the terms: 30 + 33x = -22 + 7x Solving 30 + 33x = -22 + 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 + 33x + -7x = -22 + 7x + -7x Combine like terms: 33x + -7x = 26x 30 + 26x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 26x = -22 + 0 30 + 26x = -22 Add '-30' to each side of the equation. 30 + -30 + 26x = -22 + -30 Combine like terms: 30 + -30 = 0 0 + 26x = -22 + -30 26x = -22 + -30 Combine like terms: -22 + -30 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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