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Simplifying 3(5x + 3) = 22(3x + 18) Reorder the terms: 3(3 + 5x) = 22(3x + 18) (3 * 3 + 5x * 3) = 22(3x + 18) (9 + 15x) = 22(3x + 18) Reorder the terms: 9 + 15x = 22(18 + 3x) 9 + 15x = (18 * 22 + 3x * 22) 9 + 15x = (396 + 66x) Solving 9 + 15x = 396 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 9 + 15x + -66x = 396 + 66x + -66x Combine like terms: 15x + -66x = -51x 9 + -51x = 396 + 66x + -66x Combine like terms: 66x + -66x = 0 9 + -51x = 396 + 0 9 + -51x = 396 Add '-9' to each side of the equation. 9 + -9 + -51x = 396 + -9 Combine like terms: 9 + -9 = 0 0 + -51x = 396 + -9 -51x = 396 + -9 Combine like terms: 396 + -9 = 387 -51x = 387 Divide each side by '-51'. x = -7.588235294 Simplifying x = -7.588235294
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