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Simplifying 4(2 + -3x) + 5(2x + -3x) = 0 (2 * 4 + -3x * 4) + 5(2x + -3x) = 0 (8 + -12x) + 5(2x + -3x) = 0 Combine like terms: 2x + -3x = -1x 8 + -12x + 5(-1x) = 0 Remove parenthesis around (-1x) 8 + -12x + 5 * -1x = 0 Multiply 5 * -1 8 + -12x + -5x = 0 Combine like terms: -12x + -5x = -17x 8 + -17x = 0 Solving 8 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -17x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = 0 + -8 -17x = 0 + -8 Combine like terms: 0 + -8 = -8 -17x = -8 Divide each side by '-17'. x = 0.4705882353 Simplifying x = 0.4705882353
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