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