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Simplifying 5(x + -6) + 9 = 2(x + -6) Reorder the terms: 5(-6 + x) + 9 = 2(x + -6) (-6 * 5 + x * 5) + 9 = 2(x + -6) (-30 + 5x) + 9 = 2(x + -6) Reorder the terms: -30 + 9 + 5x = 2(x + -6) Combine like terms: -30 + 9 = -21 -21 + 5x = 2(x + -6) Reorder the terms: -21 + 5x = 2(-6 + x) -21 + 5x = (-6 * 2 + x * 2) -21 + 5x = (-12 + 2x) Solving -21 + 5x = -12 + 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. -21 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -21 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 3x = -12 + 0 -21 + 3x = -12 Add '21' to each side of the equation. -21 + 21 + 3x = -12 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -12 + 21 3x = -12 + 21 Combine like terms: -12 + 21 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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