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Simplifying 7(x + 3) + x = 2(x + 5) + -5 Reorder the terms: 7(3 + x) + x = 2(x + 5) + -5 (3 * 7 + x * 7) + x = 2(x + 5) + -5 (21 + 7x) + x = 2(x + 5) + -5 Combine like terms: 7x + x = 8x 21 + 8x = 2(x + 5) + -5 Reorder the terms: 21 + 8x = 2(5 + x) + -5 21 + 8x = (5 * 2 + x * 2) + -5 21 + 8x = (10 + 2x) + -5 Reorder the terms: 21 + 8x = 10 + -5 + 2x Combine like terms: 10 + -5 = 5 21 + 8x = 5 + 2x Solving 21 + 8x = 5 + 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 + 8x + -2x = 5 + 2x + -2x Combine like terms: 8x + -2x = 6x 21 + 6x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 6x = 5 + 0 21 + 6x = 5 Add '-21' to each side of the equation. 21 + -21 + 6x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 5 + -21 6x = 5 + -21 Combine like terms: 5 + -21 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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