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Simplifying 7(x + 3) + x = 4(x + 2) + -4 Reorder the terms: 7(3 + x) + x = 4(x + 2) + -4 (3 * 7 + x * 7) + x = 4(x + 2) + -4 (21 + 7x) + x = 4(x + 2) + -4 Combine like terms: 7x + x = 8x 21 + 8x = 4(x + 2) + -4 Reorder the terms: 21 + 8x = 4(2 + x) + -4 21 + 8x = (2 * 4 + x * 4) + -4 21 + 8x = (8 + 4x) + -4 Reorder the terms: 21 + 8x = 8 + -4 + 4x Combine like terms: 8 + -4 = 4 21 + 8x = 4 + 4x Solving 21 + 8x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 8x + -4x = 4 + 4x + -4x Combine like terms: 8x + -4x = 4x 21 + 4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 4x = 4 + 0 21 + 4x = 4 Add '-21' to each side of the equation. 21 + -21 + 4x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 4 + -21 4x = 4 + -21 Combine like terms: 4 + -21 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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