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Simplifying 6x + 5 = -1(-4x + 9) Reorder the terms: 5 + 6x = -1(-4x + 9) Reorder the terms: 5 + 6x = -1(9 + -4x) 5 + 6x = (9 * -1 + -4x * -1) 5 + 6x = (-9 + 4x) Solving 5 + 6x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 6x + -4x = -9 + 4x + -4x Combine like terms: 6x + -4x = 2x 5 + 2x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 2x = -9 + 0 5 + 2x = -9 Add '-5' to each side of the equation. 5 + -5 + 2x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -9 + -5 2x = -9 + -5 Combine like terms: -9 + -5 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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