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Simplifying 6(4 + -3x) + 4x = 3(9 + 2x) (4 * 6 + -3x * 6) + 4x = 3(9 + 2x) (24 + -18x) + 4x = 3(9 + 2x) Combine like terms: -18x + 4x = -14x 24 + -14x = 3(9 + 2x) 24 + -14x = (9 * 3 + 2x * 3) 24 + -14x = (27 + 6x) Solving 24 + -14x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -14x + -6x = 27 + 6x + -6x Combine like terms: -14x + -6x = -20x 24 + -20x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -20x = 27 + 0 24 + -20x = 27 Add '-24' to each side of the equation. 24 + -24 + -20x = 27 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = 27 + -24 -20x = 27 + -24 Combine like terms: 27 + -24 = 3 -20x = 3 Divide each side by '-20'. x = -0.15 Simplifying x = -0.15
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