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Simplifying 2(2x + 3) + -7x = 18 + 5(x + -2x) Reorder the terms: 2(3 + 2x) + -7x = 18 + 5(x + -2x) (3 * 2 + 2x * 2) + -7x = 18 + 5(x + -2x) (6 + 4x) + -7x = 18 + 5(x + -2x) Combine like terms: 4x + -7x = -3x 6 + -3x = 18 + 5(x + -2x) Combine like terms: x + -2x = -1x 6 + -3x = 18 + 5(-1x) Remove parenthesis around (-1x) 6 + -3x = 18 + 5 * -1x Multiply 5 * -1 6 + -3x = 18 + -5x Solving 6 + -3x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -3x + 5x = 18 + -5x + 5x Combine like terms: -3x + 5x = 2x 6 + 2x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 2x = 18 + 0 6 + 2x = 18 Add '-6' to each side of the equation. 6 + -6 + 2x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 18 + -6 2x = 18 + -6 Combine like terms: 18 + -6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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