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Simplifying 2(2x + 3) + -7x + 18 + 5(x + 2x) = 0 Reorder the terms: 2(3 + 2x) + -7x + 18 + 5(x + 2x) = 0 (3 * 2 + 2x * 2) + -7x + 18 + 5(x + 2x) = 0 (6 + 4x) + -7x + 18 + 5(x + 2x) = 0 Combine like terms: x + 2x = 3x 6 + 4x + -7x + 18 + 5(3x) = 0 Remove parenthesis around (3x) 6 + 4x + -7x + 18 + 5 * 3x = 0 Multiply 5 * 3 6 + 4x + -7x + 18 + 15x = 0 Reorder the terms: 6 + 18 + 4x + -7x + 15x = 0 Combine like terms: 6 + 18 = 24 24 + 4x + -7x + 15x = 0 Combine like terms: 4x + -7x = -3x 24 + -3x + 15x = 0 Combine like terms: -3x + 15x = 12x 24 + 12x = 0 Solving 24 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 0 + -24 12x = 0 + -24 Combine like terms: 0 + -24 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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