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Simplifying 8(3x + 6) = 8(2x + 4) Reorder the terms: 8(6 + 3x) = 8(2x + 4) (6 * 8 + 3x * 8) = 8(2x + 4) (48 + 24x) = 8(2x + 4) Reorder the terms: 48 + 24x = 8(4 + 2x) 48 + 24x = (4 * 8 + 2x * 8) 48 + 24x = (32 + 16x) Solving 48 + 24x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 48 + 24x + -16x = 32 + 16x + -16x Combine like terms: 24x + -16x = 8x 48 + 8x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 48 + 8x = 32 + 0 48 + 8x = 32 Add '-48' to each side of the equation. 48 + -48 + 8x = 32 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 32 + -48 8x = 32 + -48 Combine like terms: 32 + -48 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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