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Simplifying 8(3x + 6) = 8(8x + -4) Reorder the terms: 8(6 + 3x) = 8(8x + -4) (6 * 8 + 3x * 8) = 8(8x + -4) (48 + 24x) = 8(8x + -4) Reorder the terms: 48 + 24x = 8(-4 + 8x) 48 + 24x = (-4 * 8 + 8x * 8) 48 + 24x = (-32 + 64x) Solving 48 + 24x = -32 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 48 + 24x + -64x = -32 + 64x + -64x Combine like terms: 24x + -64x = -40x 48 + -40x = -32 + 64x + -64x Combine like terms: 64x + -64x = 0 48 + -40x = -32 + 0 48 + -40x = -32 Add '-48' to each side of the equation. 48 + -48 + -40x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + -40x = -32 + -48 -40x = -32 + -48 Combine like terms: -32 + -48 = -80 -40x = -80 Divide each side by '-40'. x = 2 Simplifying x = 2
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