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Simplifying 6x + 4 = -1(x + -32) Reorder the terms: 4 + 6x = -1(x + -32) Reorder the terms: 4 + 6x = -1(-32 + x) 4 + 6x = (-32 * -1 + x * -1) 4 + 6x = (32 + -1x) Solving 4 + 6x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 6x + x = 32 + -1x + x Combine like terms: 6x + x = 7x 4 + 7x = 32 + -1x + x Combine like terms: -1x + x = 0 4 + 7x = 32 + 0 4 + 7x = 32 Add '-4' to each side of the equation. 4 + -4 + 7x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 32 + -4 7x = 32 + -4 Combine like terms: 32 + -4 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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