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Simplifying 4(x + 2) + -8(3x + 6) = 9(4x + 8) Reorder the terms: 4(2 + x) + -8(3x + 6) = 9(4x + 8) (2 * 4 + x * 4) + -8(3x + 6) = 9(4x + 8) (8 + 4x) + -8(3x + 6) = 9(4x + 8) Reorder the terms: 8 + 4x + -8(6 + 3x) = 9(4x + 8) 8 + 4x + (6 * -8 + 3x * -8) = 9(4x + 8) 8 + 4x + (-48 + -24x) = 9(4x + 8) Reorder the terms: 8 + -48 + 4x + -24x = 9(4x + 8) Combine like terms: 8 + -48 = -40 -40 + 4x + -24x = 9(4x + 8) Combine like terms: 4x + -24x = -20x -40 + -20x = 9(4x + 8) Reorder the terms: -40 + -20x = 9(8 + 4x) -40 + -20x = (8 * 9 + 4x * 9) -40 + -20x = (72 + 36x) Solving -40 + -20x = 72 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -40 + -20x + -36x = 72 + 36x + -36x Combine like terms: -20x + -36x = -56x -40 + -56x = 72 + 36x + -36x Combine like terms: 36x + -36x = 0 -40 + -56x = 72 + 0 -40 + -56x = 72 Add '40' to each side of the equation. -40 + 40 + -56x = 72 + 40 Combine like terms: -40 + 40 = 0 0 + -56x = 72 + 40 -56x = 72 + 40 Combine like terms: 72 + 40 = 112 -56x = 112 Divide each side by '-56'. x = -2 Simplifying x = -2
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