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Simplifying 2(3x + -4) = 4(2x + -9) Reorder the terms: 2(-4 + 3x) = 4(2x + -9) (-4 * 2 + 3x * 2) = 4(2x + -9) (-8 + 6x) = 4(2x + -9) Reorder the terms: -8 + 6x = 4(-9 + 2x) -8 + 6x = (-9 * 4 + 2x * 4) -8 + 6x = (-36 + 8x) Solving -8 + 6x = -36 + 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. -8 + 6x + -8x = -36 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = -36 + 0 -8 + -2x = -36 Add '8' to each side of the equation. -8 + 8 + -2x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -36 + 8 -2x = -36 + 8 Combine like terms: -36 + 8 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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