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Simplifying 3(x + -9) + -1 = 2 + -5(x + 6) Reorder the terms: 3(-9 + x) + -1 = 2 + -5(x + 6) (-9 * 3 + x * 3) + -1 = 2 + -5(x + 6) (-27 + 3x) + -1 = 2 + -5(x + 6) Reorder the terms: -27 + -1 + 3x = 2 + -5(x + 6) Combine like terms: -27 + -1 = -28 -28 + 3x = 2 + -5(x + 6) Reorder the terms: -28 + 3x = 2 + -5(6 + x) -28 + 3x = 2 + (6 * -5 + x * -5) -28 + 3x = 2 + (-30 + -5x) Combine like terms: 2 + -30 = -28 -28 + 3x = -28 + -5x Add '28' to each side of the equation. -28 + 28 + 3x = -28 + 28 + -5x Combine like terms: -28 + 28 = 0 0 + 3x = -28 + 28 + -5x 3x = -28 + 28 + -5x Combine like terms: -28 + 28 = 0 3x = 0 + -5x 3x = -5x Solving 3x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3x + 5x = -5x + 5x Combine like terms: 3x + 5x = 8x 8x = -5x + 5x Combine like terms: -5x + 5x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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