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Simplifying 3(x + 7) = 2(x + -2) + -5x Reorder the terms: 3(7 + x) = 2(x + -2) + -5x (7 * 3 + x * 3) = 2(x + -2) + -5x (21 + 3x) = 2(x + -2) + -5x Reorder the terms: 21 + 3x = 2(-2 + x) + -5x 21 + 3x = (-2 * 2 + x * 2) + -5x 21 + 3x = (-4 + 2x) + -5x Combine like terms: 2x + -5x = -3x 21 + 3x = -4 + -3x Solving 21 + 3x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + 3x + 3x = -4 + -3x + 3x Combine like terms: 3x + 3x = 6x 21 + 6x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 6x = -4 + 0 21 + 6x = -4 Add '-21' to each side of the equation. 21 + -21 + 6x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = -4 + -21 6x = -4 + -21 Combine like terms: -4 + -21 = -25 6x = -25 Divide each side by '6'. x = -4.166666667 Simplifying x = -4.166666667
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