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Simplifying 7(5x + 5) = 3(7x + -5) + 15x Reorder the terms: 7(5 + 5x) = 3(7x + -5) + 15x (5 * 7 + 5x * 7) = 3(7x + -5) + 15x (35 + 35x) = 3(7x + -5) + 15x Reorder the terms: 35 + 35x = 3(-5 + 7x) + 15x 35 + 35x = (-5 * 3 + 7x * 3) + 15x 35 + 35x = (-15 + 21x) + 15x Combine like terms: 21x + 15x = 36x 35 + 35x = -15 + 36x Solving 35 + 35x = -15 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 35 + 35x + -36x = -15 + 36x + -36x Combine like terms: 35x + -36x = -1x 35 + -1x = -15 + 36x + -36x Combine like terms: 36x + -36x = 0 35 + -1x = -15 + 0 35 + -1x = -15 Add '-35' to each side of the equation. 35 + -35 + -1x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = -15 + -35 -1x = -15 + -35 Combine like terms: -15 + -35 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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