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Simplifying 5(x + -6) = 9(2x + 1) Reorder the terms: 5(-6 + x) = 9(2x + 1) (-6 * 5 + x * 5) = 9(2x + 1) (-30 + 5x) = 9(2x + 1) Reorder the terms: -30 + 5x = 9(1 + 2x) -30 + 5x = (1 * 9 + 2x * 9) -30 + 5x = (9 + 18x) Solving -30 + 5x = 9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -30 + 5x + -18x = 9 + 18x + -18x Combine like terms: 5x + -18x = -13x -30 + -13x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 -30 + -13x = 9 + 0 -30 + -13x = 9 Add '30' to each side of the equation. -30 + 30 + -13x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -13x = 9 + 30 -13x = 9 + 30 Combine like terms: 9 + 30 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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