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Simplifying 9x + -5(x + -6) = 2(x + -1) + 4 Reorder the terms: 9x + -5(-6 + x) = 2(x + -1) + 4 9x + (-6 * -5 + x * -5) = 2(x + -1) + 4 9x + (30 + -5x) = 2(x + -1) + 4 Reorder the terms: 30 + 9x + -5x = 2(x + -1) + 4 Combine like terms: 9x + -5x = 4x 30 + 4x = 2(x + -1) + 4 Reorder the terms: 30 + 4x = 2(-1 + x) + 4 30 + 4x = (-1 * 2 + x * 2) + 4 30 + 4x = (-2 + 2x) + 4 Reorder the terms: 30 + 4x = -2 + 4 + 2x Combine like terms: -2 + 4 = 2 30 + 4x = 2 + 2x Solving 30 + 4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 30 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 2x = 2 + 0 30 + 2x = 2 Add '-30' to each side of the equation. 30 + -30 + 2x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 2 + -30 2x = 2 + -30 Combine like terms: 2 + -30 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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