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Simplifying 9 + -1(x + 4) = 6x + 12 Reorder the terms: 9 + -1(4 + x) = 6x + 12 9 + (4 * -1 + x * -1) = 6x + 12 9 + (-4 + -1x) = 6x + 12 Combine like terms: 9 + -4 = 5 5 + -1x = 6x + 12 Reorder the terms: 5 + -1x = 12 + 6x Solving 5 + -1x = 12 + 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. 5 + -1x + -6x = 12 + 6x + -6x Combine like terms: -1x + -6x = -7x 5 + -7x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -7x = 12 + 0 5 + -7x = 12 Add '-5' to each side of the equation. 5 + -5 + -7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 12 + -5 -7x = 12 + -5 Combine like terms: 12 + -5 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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