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Simplifying 2(6x + -8) = 1(16x + -12) Reorder the terms: 2(-8 + 6x) = 1(16x + -12) (-8 * 2 + 6x * 2) = 1(16x + -12) (-16 + 12x) = 1(16x + -12) Reorder the terms: -16 + 12x = 1(-12 + 16x) -16 + 12x = (-12 * 1 + 16x * 1) -16 + 12x = (-12 + 16x) Solving -16 + 12x = -12 + 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. -16 + 12x + -16x = -12 + 16x + -16x Combine like terms: 12x + -16x = -4x -16 + -4x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 -16 + -4x = -12 + 0 -16 + -4x = -12 Add '16' to each side of the equation. -16 + 16 + -4x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -12 + 16 -4x = -12 + 16 Combine like terms: -12 + 16 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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