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Simplifying -7x + 32 = 5(6x + -1) Reorder the terms: 32 + -7x = 5(6x + -1) Reorder the terms: 32 + -7x = 5(-1 + 6x) 32 + -7x = (-1 * 5 + 6x * 5) 32 + -7x = (-5 + 30x) Solving 32 + -7x = -5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 32 + -7x + -30x = -5 + 30x + -30x Combine like terms: -7x + -30x = -37x 32 + -37x = -5 + 30x + -30x Combine like terms: 30x + -30x = 0 32 + -37x = -5 + 0 32 + -37x = -5 Add '-32' to each side of the equation. 32 + -32 + -37x = -5 + -32 Combine like terms: 32 + -32 = 0 0 + -37x = -5 + -32 -37x = -5 + -32 Combine like terms: -5 + -32 = -37 -37x = -37 Divide each side by '-37'. x = 1 Simplifying x = 1
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