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Simplifying 5(3x + 5) = 3(x + 3) + -2 Reorder the terms: 5(5 + 3x) = 3(x + 3) + -2 (5 * 5 + 3x * 5) = 3(x + 3) + -2 (25 + 15x) = 3(x + 3) + -2 Reorder the terms: 25 + 15x = 3(3 + x) + -2 25 + 15x = (3 * 3 + x * 3) + -2 25 + 15x = (9 + 3x) + -2 Reorder the terms: 25 + 15x = 9 + -2 + 3x Combine like terms: 9 + -2 = 7 25 + 15x = 7 + 3x Solving 25 + 15x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 15x + -3x = 7 + 3x + -3x Combine like terms: 15x + -3x = 12x 25 + 12x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 12x = 7 + 0 25 + 12x = 7 Add '-25' to each side of the equation. 25 + -25 + 12x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 7 + -25 12x = 7 + -25 Combine like terms: 7 + -25 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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