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Simplifying 2(-2x + 3) + -7x = 23 + -5(x + 3x) Reorder the terms: 2(3 + -2x) + -7x = 23 + -5(x + 3x) (3 * 2 + -2x * 2) + -7x = 23 + -5(x + 3x) (6 + -4x) + -7x = 23 + -5(x + 3x) Combine like terms: -4x + -7x = -11x 6 + -11x = 23 + -5(x + 3x) Combine like terms: x + 3x = 4x 6 + -11x = 23 + -5(4x) Remove parenthesis around (4x) 6 + -11x = 23 + -5 * 4x Multiply -5 * 4 6 + -11x = 23 + -20x Solving 6 + -11x = 23 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 6 + -11x + 20x = 23 + -20x + 20x Combine like terms: -11x + 20x = 9x 6 + 9x = 23 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 9x = 23 + 0 6 + 9x = 23 Add '-6' to each side of the equation. 6 + -6 + 9x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 23 + -6 9x = 23 + -6 Combine like terms: 23 + -6 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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