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Simplifying 5(x + 5) + -3 = 3(2 + -1x) Reorder the terms: 5(5 + x) + -3 = 3(2 + -1x) (5 * 5 + x * 5) + -3 = 3(2 + -1x) (25 + 5x) + -3 = 3(2 + -1x) Reorder the terms: 25 + -3 + 5x = 3(2 + -1x) Combine like terms: 25 + -3 = 22 22 + 5x = 3(2 + -1x) 22 + 5x = (2 * 3 + -1x * 3) 22 + 5x = (6 + -3x) Solving 22 + 5x = 6 + -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. 22 + 5x + 3x = 6 + -3x + 3x Combine like terms: 5x + 3x = 8x 22 + 8x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 8x = 6 + 0 22 + 8x = 6 Add '-22' to each side of the equation. 22 + -22 + 8x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 8x = 6 + -22 8x = 6 + -22 Combine like terms: 6 + -22 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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