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Simplifying 3(2x + 7) + -2x = 4 + -1(x + 5) Reorder the terms: 3(7 + 2x) + -2x = 4 + -1(x + 5) (7 * 3 + 2x * 3) + -2x = 4 + -1(x + 5) (21 + 6x) + -2x = 4 + -1(x + 5) Combine like terms: 6x + -2x = 4x 21 + 4x = 4 + -1(x + 5) Reorder the terms: 21 + 4x = 4 + -1(5 + x) 21 + 4x = 4 + (5 * -1 + x * -1) 21 + 4x = 4 + (-5 + -1x) Combine like terms: 4 + -5 = -1 21 + 4x = -1 + -1x Solving 21 + 4x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + 4x + x = -1 + -1x + x Combine like terms: 4x + x = 5x 21 + 5x = -1 + -1x + x Combine like terms: -1x + x = 0 21 + 5x = -1 + 0 21 + 5x = -1 Add '-21' to each side of the equation. 21 + -21 + 5x = -1 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = -1 + -21 5x = -1 + -21 Combine like terms: -1 + -21 = -22 5x = -22 Divide each side by '5'. x = -4.4 Simplifying x = -4.4
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