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Simplifying 2(2x + -2) = 4(3x + -9) + 8 Reorder the terms: 2(-2 + 2x) = 4(3x + -9) + 8 (-2 * 2 + 2x * 2) = 4(3x + -9) + 8 (-4 + 4x) = 4(3x + -9) + 8 Reorder the terms: -4 + 4x = 4(-9 + 3x) + 8 -4 + 4x = (-9 * 4 + 3x * 4) + 8 -4 + 4x = (-36 + 12x) + 8 Reorder the terms: -4 + 4x = -36 + 8 + 12x Combine like terms: -36 + 8 = -28 -4 + 4x = -28 + 12x Solving -4 + 4x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 4x + -12x = -28 + 12x + -12x Combine like terms: 4x + -12x = -8x -4 + -8x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -8x = -28 + 0 -4 + -8x = -28 Add '4' to each side of the equation. -4 + 4 + -8x = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -28 + 4 -8x = -28 + 4 Combine like terms: -28 + 4 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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