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Simplifying 9(2x + 3) + -4 = 5(3x + -2) Reorder the terms: 9(3 + 2x) + -4 = 5(3x + -2) (3 * 9 + 2x * 9) + -4 = 5(3x + -2) (27 + 18x) + -4 = 5(3x + -2) Reorder the terms: 27 + -4 + 18x = 5(3x + -2) Combine like terms: 27 + -4 = 23 23 + 18x = 5(3x + -2) Reorder the terms: 23 + 18x = 5(-2 + 3x) 23 + 18x = (-2 * 5 + 3x * 5) 23 + 18x = (-10 + 15x) Solving 23 + 18x = -10 + 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. 23 + 18x + -15x = -10 + 15x + -15x Combine like terms: 18x + -15x = 3x 23 + 3x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 23 + 3x = -10 + 0 23 + 3x = -10 Add '-23' to each side of the equation. 23 + -23 + 3x = -10 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = -10 + -23 3x = -10 + -23 Combine like terms: -10 + -23 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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