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