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Simplifying 8(2x + 8) = 8(6x + -3) Reorder the terms: 8(8 + 2x) = 8(6x + -3) (8 * 8 + 2x * 8) = 8(6x + -3) (64 + 16x) = 8(6x + -3) Reorder the terms: 64 + 16x = 8(-3 + 6x) 64 + 16x = (-3 * 8 + 6x * 8) 64 + 16x = (-24 + 48x) Solving 64 + 16x = -24 + 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. 64 + 16x + -48x = -24 + 48x + -48x Combine like terms: 16x + -48x = -32x 64 + -32x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 64 + -32x = -24 + 0 64 + -32x = -24 Add '-64' to each side of the equation. 64 + -64 + -32x = -24 + -64 Combine like terms: 64 + -64 = 0 0 + -32x = -24 + -64 -32x = -24 + -64 Combine like terms: -24 + -64 = -88 -32x = -88 Divide each side by '-32'. x = 2.75 Simplifying x = 2.75
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