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Simplifying 5(x + 7) + x = 4(x + 3) + 2 Reorder the terms: 5(7 + x) + x = 4(x + 3) + 2 (7 * 5 + x * 5) + x = 4(x + 3) + 2 (35 + 5x) + x = 4(x + 3) + 2 Combine like terms: 5x + x = 6x 35 + 6x = 4(x + 3) + 2 Reorder the terms: 35 + 6x = 4(3 + x) + 2 35 + 6x = (3 * 4 + x * 4) + 2 35 + 6x = (12 + 4x) + 2 Reorder the terms: 35 + 6x = 12 + 2 + 4x Combine like terms: 12 + 2 = 14 35 + 6x = 14 + 4x Solving 35 + 6x = 14 + 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. 35 + 6x + -4x = 14 + 4x + -4x Combine like terms: 6x + -4x = 2x 35 + 2x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 2x = 14 + 0 35 + 2x = 14 Add '-35' to each side of the equation. 35 + -35 + 2x = 14 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 14 + -35 2x = 14 + -35 Combine like terms: 14 + -35 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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