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Simplifying 2x + 7 = 8(4 + x) Reorder the terms: 7 + 2x = 8(4 + x) 7 + 2x = (4 * 8 + x * 8) 7 + 2x = (32 + 8x) Solving 7 + 2x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 2x + -8x = 32 + 8x + -8x Combine like terms: 2x + -8x = -6x 7 + -6x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -6x = 32 + 0 7 + -6x = 32 Add '-7' to each side of the equation. 7 + -7 + -6x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 32 + -7 -6x = 32 + -7 Combine like terms: 32 + -7 = 25 -6x = 25 Divide each side by '-6'. x = -4.166666667 Simplifying x = -4.166666667
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