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Simplifying 5x + 1 + 3 = 8(3x + 2) + 7(2 + -3x) Reorder the terms: 1 + 3 + 5x = 8(3x + 2) + 7(2 + -3x) Combine like terms: 1 + 3 = 4 4 + 5x = 8(3x + 2) + 7(2 + -3x) Reorder the terms: 4 + 5x = 8(2 + 3x) + 7(2 + -3x) 4 + 5x = (2 * 8 + 3x * 8) + 7(2 + -3x) 4 + 5x = (16 + 24x) + 7(2 + -3x) 4 + 5x = 16 + 24x + (2 * 7 + -3x * 7) 4 + 5x = 16 + 24x + (14 + -21x) Reorder the terms: 4 + 5x = 16 + 14 + 24x + -21x Combine like terms: 16 + 14 = 30 4 + 5x = 30 + 24x + -21x Combine like terms: 24x + -21x = 3x 4 + 5x = 30 + 3x Solving 4 + 5x = 30 + 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. 4 + 5x + -3x = 30 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = 30 + 0 4 + 2x = 30 Add '-4' to each side of the equation. 4 + -4 + 2x = 30 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 30 + -4 2x = 30 + -4 Combine like terms: 30 + -4 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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