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Simplifying 4(2x + -9) = -8(2x + 6) Reorder the terms: 4(-9 + 2x) = -8(2x + 6) (-9 * 4 + 2x * 4) = -8(2x + 6) (-36 + 8x) = -8(2x + 6) Reorder the terms: -36 + 8x = -8(6 + 2x) -36 + 8x = (6 * -8 + 2x * -8) -36 + 8x = (-48 + -16x) Solving -36 + 8x = -48 + -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. -36 + 8x + 16x = -48 + -16x + 16x Combine like terms: 8x + 16x = 24x -36 + 24x = -48 + -16x + 16x Combine like terms: -16x + 16x = 0 -36 + 24x = -48 + 0 -36 + 24x = -48 Add '36' to each side of the equation. -36 + 36 + 24x = -48 + 36 Combine like terms: -36 + 36 = 0 0 + 24x = -48 + 36 24x = -48 + 36 Combine like terms: -48 + 36 = -12 24x = -12 Divide each side by '24'. x = -0.5 Simplifying x = -0.5
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