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Simplifying 9 + -1(3 + -2x) = 6(4 + 3x) 9 + (3 * -1 + -2x * -1) = 6(4 + 3x) 9 + (-3 + 2x) = 6(4 + 3x) Combine like terms: 9 + -3 = 6 6 + 2x = 6(4 + 3x) 6 + 2x = (4 * 6 + 3x * 6) 6 + 2x = (24 + 18x) Solving 6 + 2x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 6 + 2x + -18x = 24 + 18x + -18x Combine like terms: 2x + -18x = -16x 6 + -16x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -16x = 24 + 0 6 + -16x = 24 Add '-6' to each side of the equation. 6 + -6 + -16x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 24 + -6 -16x = 24 + -6 Combine like terms: 24 + -6 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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