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Simplifying 2(3x + -4) + -4(2x + 7) = 18 Reorder the terms: 2(-4 + 3x) + -4(2x + 7) = 18 (-4 * 2 + 3x * 2) + -4(2x + 7) = 18 (-8 + 6x) + -4(2x + 7) = 18 Reorder the terms: -8 + 6x + -4(7 + 2x) = 18 -8 + 6x + (7 * -4 + 2x * -4) = 18 -8 + 6x + (-28 + -8x) = 18 Reorder the terms: -8 + -28 + 6x + -8x = 18 Combine like terms: -8 + -28 = -36 -36 + 6x + -8x = 18 Combine like terms: 6x + -8x = -2x -36 + -2x = 18 Solving -36 + -2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -2x = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = 18 + 36 -2x = 18 + 36 Combine like terms: 18 + 36 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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