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Simplifying 4(3x + 3) + -7 = 22 + -5x Reorder the terms: 4(3 + 3x) + -7 = 22 + -5x (3 * 4 + 3x * 4) + -7 = 22 + -5x (12 + 12x) + -7 = 22 + -5x Reorder the terms: 12 + -7 + 12x = 22 + -5x Combine like terms: 12 + -7 = 5 5 + 12x = 22 + -5x Solving 5 + 12x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 12x + 5x = 22 + -5x + 5x Combine like terms: 12x + 5x = 17x 5 + 17x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 17x = 22 + 0 5 + 17x = 22 Add '-5' to each side of the equation. 5 + -5 + 17x = 22 + -5 Combine like terms: 5 + -5 = 0 0 + 17x = 22 + -5 17x = 22 + -5 Combine like terms: 22 + -5 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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