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Simplifying 3(2x + 1) + 2x + 1 = 5(3x + -2) Reorder the terms: 3(1 + 2x) + 2x + 1 = 5(3x + -2) (1 * 3 + 2x * 3) + 2x + 1 = 5(3x + -2) (3 + 6x) + 2x + 1 = 5(3x + -2) Reorder the terms: 3 + 1 + 6x + 2x = 5(3x + -2) Combine like terms: 3 + 1 = 4 4 + 6x + 2x = 5(3x + -2) Combine like terms: 6x + 2x = 8x 4 + 8x = 5(3x + -2) Reorder the terms: 4 + 8x = 5(-2 + 3x) 4 + 8x = (-2 * 5 + 3x * 5) 4 + 8x = (-10 + 15x) Solving 4 + 8x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + 8x + -15x = -10 + 15x + -15x Combine like terms: 8x + -15x = -7x 4 + -7x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -7x = -10 + 0 4 + -7x = -10 Add '-4' to each side of the equation. 4 + -4 + -7x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -10 + -4 -7x = -10 + -4 Combine like terms: -10 + -4 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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