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Simplifying 4(3x + -2) + -6 = 10 + -9x Reorder the terms: 4(-2 + 3x) + -6 = 10 + -9x (-2 * 4 + 3x * 4) + -6 = 10 + -9x (-8 + 12x) + -6 = 10 + -9x Reorder the terms: -8 + -6 + 12x = 10 + -9x Combine like terms: -8 + -6 = -14 -14 + 12x = 10 + -9x Solving -14 + 12x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 12x + 9x = 10 + -9x + 9x Combine like terms: 12x + 9x = 21x -14 + 21x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 21x = 10 + 0 -14 + 21x = 10 Add '14' to each side of the equation. -14 + 14 + 21x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 21x = 10 + 14 21x = 10 + 14 Combine like terms: 10 + 14 = 24 21x = 24 Divide each side by '21'. x = 1.142857143 Simplifying x = 1.142857143
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