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Simplifying 2(2x + 3) + -7x = -5(x + 3x) Reorder the terms: 2(3 + 2x) + -7x = -5(x + 3x) (3 * 2 + 2x * 2) + -7x = -5(x + 3x) (6 + 4x) + -7x = -5(x + 3x) Combine like terms: 4x + -7x = -3x 6 + -3x = -5(x + 3x) Combine like terms: x + 3x = 4x 6 + -3x = -5(4x) Remove parenthesis around (4x) 6 + -3x = -5 * 4x Multiply -5 * 4 6 + -3x = -20x Solving 6 + -3x = -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 + -3x + 20x = -20x + 20x Combine like terms: -3x + 20x = 17x 6 + 17x = -20x + 20x Combine like terms: -20x + 20x = 0 6 + 17x = 0 Add '-6' to each side of the equation. 6 + -6 + 17x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 17x = 0 + -6 17x = 0 + -6 Combine like terms: 0 + -6 = -6 17x = -6 Divide each side by '17'. x = -0.3529411765 Simplifying x = -0.3529411765
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