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Simplifying 2(2x + -3) = 8(2x + 4) Reorder the terms: 2(-3 + 2x) = 8(2x + 4) (-3 * 2 + 2x * 2) = 8(2x + 4) (-6 + 4x) = 8(2x + 4) Reorder the terms: -6 + 4x = 8(4 + 2x) -6 + 4x = (4 * 8 + 2x * 8) -6 + 4x = (32 + 16x) Solving -6 + 4x = 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. -6 + 4x + -16x = 32 + 16x + -16x Combine like terms: 4x + -16x = -12x -6 + -12x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + -12x = 32 + 0 -6 + -12x = 32 Add '6' to each side of the equation. -6 + 6 + -12x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 32 + 6 -12x = 32 + 6 Combine like terms: 32 + 6 = 38 -12x = 38 Divide each side by '-12'. x = -3.166666667 Simplifying x = -3.166666667
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