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Simplifying 8(x + 4) + x = 2(x + 4) + 2 Reorder the terms: 8(4 + x) + x = 2(x + 4) + 2 (4 * 8 + x * 8) + x = 2(x + 4) + 2 (32 + 8x) + x = 2(x + 4) + 2 Combine like terms: 8x + x = 9x 32 + 9x = 2(x + 4) + 2 Reorder the terms: 32 + 9x = 2(4 + x) + 2 32 + 9x = (4 * 2 + x * 2) + 2 32 + 9x = (8 + 2x) + 2 Reorder the terms: 32 + 9x = 8 + 2 + 2x Combine like terms: 8 + 2 = 10 32 + 9x = 10 + 2x Solving 32 + 9x = 10 + 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. 32 + 9x + -2x = 10 + 2x + -2x Combine like terms: 9x + -2x = 7x 32 + 7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 7x = 10 + 0 32 + 7x = 10 Add '-32' to each side of the equation. 32 + -32 + 7x = 10 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 10 + -32 7x = 10 + -32 Combine like terms: 10 + -32 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143
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