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Simplifying 8(2x + 6) = 6x + -12 + -2x Reorder the terms: 8(6 + 2x) = 6x + -12 + -2x (6 * 8 + 2x * 8) = 6x + -12 + -2x (48 + 16x) = 6x + -12 + -2x Reorder the terms: 48 + 16x = -12 + 6x + -2x Combine like terms: 6x + -2x = 4x 48 + 16x = -12 + 4x Solving 48 + 16x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 16x + -4x = -12 + 4x + -4x Combine like terms: 16x + -4x = 12x 48 + 12x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 12x = -12 + 0 48 + 12x = -12 Add '-48' to each side of the equation. 48 + -48 + 12x = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 12x = -12 + -48 12x = -12 + -48 Combine like terms: -12 + -48 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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