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Simplifying 3(x + 7) + -6x = 2x + -4 + 14 Reorder the terms: 3(7 + x) + -6x = 2x + -4 + 14 (7 * 3 + x * 3) + -6x = 2x + -4 + 14 (21 + 3x) + -6x = 2x + -4 + 14 Combine like terms: 3x + -6x = -3x 21 + -3x = 2x + -4 + 14 Reorder the terms: 21 + -3x = -4 + 14 + 2x Combine like terms: -4 + 14 = 10 21 + -3x = 10 + 2x Solving 21 + -3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x 21 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -5x = 10 + 0 21 + -5x = 10 Add '-21' to each side of the equation. 21 + -21 + -5x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 10 + -21 -5x = 10 + -21 Combine like terms: 10 + -21 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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