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Simplifying 9(2x + -4) = 5(3x + 6) Reorder the terms: 9(-4 + 2x) = 5(3x + 6) (-4 * 9 + 2x * 9) = 5(3x + 6) (-36 + 18x) = 5(3x + 6) Reorder the terms: -36 + 18x = 5(6 + 3x) -36 + 18x = (6 * 5 + 3x * 5) -36 + 18x = (30 + 15x) Solving -36 + 18x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -36 + 18x + -15x = 30 + 15x + -15x Combine like terms: 18x + -15x = 3x -36 + 3x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -36 + 3x = 30 + 0 -36 + 3x = 30 Add '36' to each side of the equation. -36 + 36 + 3x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 30 + 36 3x = 30 + 36 Combine like terms: 30 + 36 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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