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Simplifying 4(6x + -9) = 2(4x + -6) Reorder the terms: 4(-9 + 6x) = 2(4x + -6) (-9 * 4 + 6x * 4) = 2(4x + -6) (-36 + 24x) = 2(4x + -6) Reorder the terms: -36 + 24x = 2(-6 + 4x) -36 + 24x = (-6 * 2 + 4x * 2) -36 + 24x = (-12 + 8x) Solving -36 + 24x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 24x + -8x = -12 + 8x + -8x Combine like terms: 24x + -8x = 16x -36 + 16x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 16x = -12 + 0 -36 + 16x = -12 Add '36' to each side of the equation. -36 + 36 + 16x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = -12 + 36 16x = -12 + 36 Combine like terms: -12 + 36 = 24 16x = 24 Divide each side by '16'. x = 1.5 Simplifying x = 1.5
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