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Simplifying 4(3x + -9) + -8 = 4(x + -3) + 8 Reorder the terms: 4(-9 + 3x) + -8 = 4(x + -3) + 8 (-9 * 4 + 3x * 4) + -8 = 4(x + -3) + 8 (-36 + 12x) + -8 = 4(x + -3) + 8 Reorder the terms: -36 + -8 + 12x = 4(x + -3) + 8 Combine like terms: -36 + -8 = -44 -44 + 12x = 4(x + -3) + 8 Reorder the terms: -44 + 12x = 4(-3 + x) + 8 -44 + 12x = (-3 * 4 + x * 4) + 8 -44 + 12x = (-12 + 4x) + 8 Reorder the terms: -44 + 12x = -12 + 8 + 4x Combine like terms: -12 + 8 = -4 -44 + 12x = -4 + 4x Solving -44 + 12x = -4 + 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. -44 + 12x + -4x = -4 + 4x + -4x Combine like terms: 12x + -4x = 8x -44 + 8x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -44 + 8x = -4 + 0 -44 + 8x = -4 Add '44' to each side of the equation. -44 + 44 + 8x = -4 + 44 Combine like terms: -44 + 44 = 0 0 + 8x = -4 + 44 8x = -4 + 44 Combine like terms: -4 + 44 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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