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Simplifying 2(3x + 2) + 3 = 5(3x + -4) + 9 Reorder the terms: 2(2 + 3x) + 3 = 5(3x + -4) + 9 (2 * 2 + 3x * 2) + 3 = 5(3x + -4) + 9 (4 + 6x) + 3 = 5(3x + -4) + 9 Reorder the terms: 4 + 3 + 6x = 5(3x + -4) + 9 Combine like terms: 4 + 3 = 7 7 + 6x = 5(3x + -4) + 9 Reorder the terms: 7 + 6x = 5(-4 + 3x) + 9 7 + 6x = (-4 * 5 + 3x * 5) + 9 7 + 6x = (-20 + 15x) + 9 Reorder the terms: 7 + 6x = -20 + 9 + 15x Combine like terms: -20 + 9 = -11 7 + 6x = -11 + 15x Solving 7 + 6x = -11 + 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. 7 + 6x + -15x = -11 + 15x + -15x Combine like terms: 6x + -15x = -9x 7 + -9x = -11 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -9x = -11 + 0 7 + -9x = -11 Add '-7' to each side of the equation. 7 + -7 + -9x = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -11 + -7 -9x = -11 + -7 Combine like terms: -11 + -7 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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