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Simplifying 32 + 3x = 2(-3x + 7) Reorder the terms: 32 + 3x = 2(7 + -3x) 32 + 3x = (7 * 2 + -3x * 2) 32 + 3x = (14 + -6x) Solving 32 + 3x = 14 + -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. 32 + 3x + 6x = 14 + -6x + 6x Combine like terms: 3x + 6x = 9x 32 + 9x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + 9x = 14 + 0 32 + 9x = 14 Add '-32' to each side of the equation. 32 + -32 + 9x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 9x = 14 + -32 9x = 14 + -32 Combine like terms: 14 + -32 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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