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Simplifying 9x + 6(3x + -4) = 10x + -2 Reorder the terms: 9x + 6(-4 + 3x) = 10x + -2 9x + (-4 * 6 + 3x * 6) = 10x + -2 9x + (-24 + 18x) = 10x + -2 Reorder the terms: -24 + 9x + 18x = 10x + -2 Combine like terms: 9x + 18x = 27x -24 + 27x = 10x + -2 Reorder the terms: -24 + 27x = -2 + 10x Solving -24 + 27x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 27x + -10x = -2 + 10x + -10x Combine like terms: 27x + -10x = 17x -24 + 17x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 17x = -2 + 0 -24 + 17x = -2 Add '24' to each side of the equation. -24 + 24 + 17x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 17x = -2 + 24 17x = -2 + 24 Combine like terms: -2 + 24 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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