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Simplifying 3(2x + 1) + 5 = 7 + -3x Reorder the terms: 3(1 + 2x) + 5 = 7 + -3x (1 * 3 + 2x * 3) + 5 = 7 + -3x (3 + 6x) + 5 = 7 + -3x Reorder the terms: 3 + 5 + 6x = 7 + -3x Combine like terms: 3 + 5 = 8 8 + 6x = 7 + -3x Solving 8 + 6x = 7 + -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. 8 + 6x + 3x = 7 + -3x + 3x Combine like terms: 6x + 3x = 9x 8 + 9x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 9x = 7 + 0 8 + 9x = 7 Add '-8' to each side of the equation. 8 + -8 + 9x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 7 + -8 9x = 7 + -8 Combine like terms: 7 + -8 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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