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Simplifying 3x + -2(3x + -8) = 6(2x + -7) + 9x Reorder the terms: 3x + -2(-8 + 3x) = 6(2x + -7) + 9x 3x + (-8 * -2 + 3x * -2) = 6(2x + -7) + 9x 3x + (16 + -6x) = 6(2x + -7) + 9x Reorder the terms: 16 + 3x + -6x = 6(2x + -7) + 9x Combine like terms: 3x + -6x = -3x 16 + -3x = 6(2x + -7) + 9x Reorder the terms: 16 + -3x = 6(-7 + 2x) + 9x 16 + -3x = (-7 * 6 + 2x * 6) + 9x 16 + -3x = (-42 + 12x) + 9x Combine like terms: 12x + 9x = 21x 16 + -3x = -42 + 21x Solving 16 + -3x = -42 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 16 + -3x + -21x = -42 + 21x + -21x Combine like terms: -3x + -21x = -24x 16 + -24x = -42 + 21x + -21x Combine like terms: 21x + -21x = 0 16 + -24x = -42 + 0 16 + -24x = -42 Add '-16' to each side of the equation. 16 + -16 + -24x = -42 + -16 Combine like terms: 16 + -16 = 0 0 + -24x = -42 + -16 -24x = -42 + -16 Combine like terms: -42 + -16 = -58 -24x = -58 Divide each side by '-24'. x = 2.416666667 Simplifying x = 2.416666667
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