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Simplifying 6 + 2x = 3x + -7(5x + 4) Reorder the terms: 6 + 2x = 3x + -7(4 + 5x) 6 + 2x = 3x + (4 * -7 + 5x * -7) 6 + 2x = 3x + (-28 + -35x) Reorder the terms: 6 + 2x = -28 + 3x + -35x Combine like terms: 3x + -35x = -32x 6 + 2x = -28 + -32x Solving 6 + 2x = -28 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 6 + 2x + 32x = -28 + -32x + 32x Combine like terms: 2x + 32x = 34x 6 + 34x = -28 + -32x + 32x Combine like terms: -32x + 32x = 0 6 + 34x = -28 + 0 6 + 34x = -28 Add '-6' to each side of the equation. 6 + -6 + 34x = -28 + -6 Combine like terms: 6 + -6 = 0 0 + 34x = -28 + -6 34x = -28 + -6 Combine like terms: -28 + -6 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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