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Simplifying 96 = 8(x + 6) + -2x Reorder the terms: 96 = 8(6 + x) + -2x 96 = (6 * 8 + x * 8) + -2x 96 = (48 + 8x) + -2x Combine like terms: 8x + -2x = 6x 96 = 48 + 6x Solving 96 = 48 + 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. 96 + -6x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 96 + -6x = 48 + 0 96 + -6x = 48 Add '-96' to each side of the equation. 96 + -96 + -6x = 48 + -96 Combine like terms: 96 + -96 = 0 0 + -6x = 48 + -96 -6x = 48 + -96 Combine like terms: 48 + -96 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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