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Simplifying 5(x + -9) = 2(4x + -6) Reorder the terms: 5(-9 + x) = 2(4x + -6) (-9 * 5 + x * 5) = 2(4x + -6) (-45 + 5x) = 2(4x + -6) Reorder the terms: -45 + 5x = 2(-6 + 4x) -45 + 5x = (-6 * 2 + 4x * 2) -45 + 5x = (-12 + 8x) Solving -45 + 5x = -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. -45 + 5x + -8x = -12 + 8x + -8x Combine like terms: 5x + -8x = -3x -45 + -3x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + -3x = -12 + 0 -45 + -3x = -12 Add '45' to each side of the equation. -45 + 45 + -3x = -12 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -12 + 45 -3x = -12 + 45 Combine like terms: -12 + 45 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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