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Simplifying 2(x + 3) + 2x = 2x + -7(x + 3) Reorder the terms: 2(3 + x) + 2x = 2x + -7(x + 3) (3 * 2 + x * 2) + 2x = 2x + -7(x + 3) (6 + 2x) + 2x = 2x + -7(x + 3) Combine like terms: 2x + 2x = 4x 6 + 4x = 2x + -7(x + 3) Reorder the terms: 6 + 4x = 2x + -7(3 + x) 6 + 4x = 2x + (3 * -7 + x * -7) 6 + 4x = 2x + (-21 + -7x) Reorder the terms: 6 + 4x = -21 + 2x + -7x Combine like terms: 2x + -7x = -5x 6 + 4x = -21 + -5x Solving 6 + 4x = -21 + -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 + 4x + 5x = -21 + -5x + 5x Combine like terms: 4x + 5x = 9x 6 + 9x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 9x = -21 + 0 6 + 9x = -21 Add '-6' to each side of the equation. 6 + -6 + 9x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -21 + -6 9x = -21 + -6 Combine like terms: -21 + -6 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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