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Simplifying 5(3x + 4) + 2x = 2(2x + 3) + 1 Reorder the terms: 5(4 + 3x) + 2x = 2(2x + 3) + 1 (4 * 5 + 3x * 5) + 2x = 2(2x + 3) + 1 (20 + 15x) + 2x = 2(2x + 3) + 1 Combine like terms: 15x + 2x = 17x 20 + 17x = 2(2x + 3) + 1 Reorder the terms: 20 + 17x = 2(3 + 2x) + 1 20 + 17x = (3 * 2 + 2x * 2) + 1 20 + 17x = (6 + 4x) + 1 Reorder the terms: 20 + 17x = 6 + 1 + 4x Combine like terms: 6 + 1 = 7 20 + 17x = 7 + 4x Solving 20 + 17x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 17x + -4x = 7 + 4x + -4x Combine like terms: 17x + -4x = 13x 20 + 13x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 13x = 7 + 0 20 + 13x = 7 Add '-20' to each side of the equation. 20 + -20 + 13x = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 7 + -20 13x = 7 + -20 Combine like terms: 7 + -20 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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