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Simplifying 7x + 3(x + -1) + 3 = 2(x + 8) Reorder the terms: 7x + 3(-1 + x) + 3 = 2(x + 8) 7x + (-1 * 3 + x * 3) + 3 = 2(x + 8) 7x + (-3 + 3x) + 3 = 2(x + 8) Reorder the terms: -3 + 3 + 7x + 3x = 2(x + 8) Combine like terms: -3 + 3 = 0 0 + 7x + 3x = 2(x + 8) 7x + 3x = 2(x + 8) Combine like terms: 7x + 3x = 10x 10x = 2(x + 8) Reorder the terms: 10x = 2(8 + x) 10x = (8 * 2 + x * 2) 10x = (16 + 2x) Solving 10x = 16 + 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. 10x + -2x = 16 + 2x + -2x Combine like terms: 10x + -2x = 8x 8x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 8x = 16 + 0 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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