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Simplifying 8(14 + 8x) = 8(6x + 5) (14 * 8 + 8x * 8) = 8(6x + 5) (112 + 64x) = 8(6x + 5) Reorder the terms: 112 + 64x = 8(5 + 6x) 112 + 64x = (5 * 8 + 6x * 8) 112 + 64x = (40 + 48x) Solving 112 + 64x = 40 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 112 + 64x + -48x = 40 + 48x + -48x Combine like terms: 64x + -48x = 16x 112 + 16x = 40 + 48x + -48x Combine like terms: 48x + -48x = 0 112 + 16x = 40 + 0 112 + 16x = 40 Add '-112' to each side of the equation. 112 + -112 + 16x = 40 + -112 Combine like terms: 112 + -112 = 0 0 + 16x = 40 + -112 16x = 40 + -112 Combine like terms: 40 + -112 = -72 16x = -72 Divide each side by '16'. x = -4.5 Simplifying x = -4.5
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