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Simplifying 7(3x + 3) + -5 = -29 + 6x Reorder the terms: 7(3 + 3x) + -5 = -29 + 6x (3 * 7 + 3x * 7) + -5 = -29 + 6x (21 + 21x) + -5 = -29 + 6x Reorder the terms: 21 + -5 + 21x = -29 + 6x Combine like terms: 21 + -5 = 16 16 + 21x = -29 + 6x Solving 16 + 21x = -29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 21x + -6x = -29 + 6x + -6x Combine like terms: 21x + -6x = 15x 16 + 15x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 15x = -29 + 0 16 + 15x = -29 Add '-16' to each side of the equation. 16 + -16 + 15x = -29 + -16 Combine like terms: 16 + -16 = 0 0 + 15x = -29 + -16 15x = -29 + -16 Combine like terms: -29 + -16 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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