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Simplifying 32 + -1(x + 7) = 6x + -3 Reorder the terms: 32 + -1(7 + x) = 6x + -3 32 + (7 * -1 + x * -1) = 6x + -3 32 + (-7 + -1x) = 6x + -3 Combine like terms: 32 + -7 = 25 25 + -1x = 6x + -3 Reorder the terms: 25 + -1x = -3 + 6x Solving 25 + -1x = -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. 25 + -1x + -6x = -3 + 6x + -6x Combine like terms: -1x + -6x = -7x 25 + -7x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -7x = -3 + 0 25 + -7x = -3 Add '-25' to each side of the equation. 25 + -25 + -7x = -3 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -3 + -25 -7x = -3 + -25 Combine like terms: -3 + -25 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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