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