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Simplifying 8(x + 6) = 2(3x + 4) Reorder the terms: 8(6 + x) = 2(3x + 4) (6 * 8 + x * 8) = 2(3x + 4) (48 + 8x) = 2(3x + 4) Reorder the terms: 48 + 8x = 2(4 + 3x) 48 + 8x = (4 * 2 + 3x * 2) 48 + 8x = (8 + 6x) Solving 48 + 8x = 8 + 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. 48 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x 48 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + 2x = 8 + 0 48 + 2x = 8 Add '-48' to each side of the equation. 48 + -48 + 2x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 8 + -48 2x = 8 + -48 Combine like terms: 8 + -48 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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