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Simplifying 2(4x + -7) + -4(3x + -8) = 45 Reorder the terms: 2(-7 + 4x) + -4(3x + -8) = 45 (-7 * 2 + 4x * 2) + -4(3x + -8) = 45 (-14 + 8x) + -4(3x + -8) = 45 Reorder the terms: -14 + 8x + -4(-8 + 3x) = 45 -14 + 8x + (-8 * -4 + 3x * -4) = 45 -14 + 8x + (32 + -12x) = 45 Reorder the terms: -14 + 32 + 8x + -12x = 45 Combine like terms: -14 + 32 = 18 18 + 8x + -12x = 45 Combine like terms: 8x + -12x = -4x 18 + -4x = 45 Solving 18 + -4x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -4x = 45 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 45 + -18 -4x = 45 + -18 Combine like terms: 45 + -18 = 27 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75
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