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Simplifying 2(3x + 4) + -5(3x + 4) + 3 = 0 Reorder the terms: 2(4 + 3x) + -5(3x + 4) + 3 = 0 (4 * 2 + 3x * 2) + -5(3x + 4) + 3 = 0 (8 + 6x) + -5(3x + 4) + 3 = 0 Reorder the terms: 8 + 6x + -5(4 + 3x) + 3 = 0 8 + 6x + (4 * -5 + 3x * -5) + 3 = 0 8 + 6x + (-20 + -15x) + 3 = 0 Reorder the terms: 8 + -20 + 3 + 6x + -15x = 0 Combine like terms: 8 + -20 = -12 -12 + 3 + 6x + -15x = 0 Combine like terms: -12 + 3 = -9 -9 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x -9 + -9x = 0 Solving -9 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = 0 + 9 -9x = 0 + 9 Combine like terms: 0 + 9 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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