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Simplifying 5 + 5x = 7(3x + 3) Reorder the terms: 5 + 5x = 7(3 + 3x) 5 + 5x = (3 * 7 + 3x * 7) 5 + 5x = (21 + 21x) Solving 5 + 5x = 21 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 5 + 5x + -21x = 21 + 21x + -21x Combine like terms: 5x + -21x = -16x 5 + -16x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 5 + -16x = 21 + 0 5 + -16x = 21 Add '-5' to each side of the equation. 5 + -5 + -16x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 21 + -5 -16x = 21 + -5 Combine like terms: 21 + -5 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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