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Simplifying 3x + -3(2x + -8) = 5(3x + -7) + 6x Reorder the terms: 3x + -3(-8 + 2x) = 5(3x + -7) + 6x 3x + (-8 * -3 + 2x * -3) = 5(3x + -7) + 6x 3x + (24 + -6x) = 5(3x + -7) + 6x Reorder the terms: 24 + 3x + -6x = 5(3x + -7) + 6x Combine like terms: 3x + -6x = -3x 24 + -3x = 5(3x + -7) + 6x Reorder the terms: 24 + -3x = 5(-7 + 3x) + 6x 24 + -3x = (-7 * 5 + 3x * 5) + 6x 24 + -3x = (-35 + 15x) + 6x Combine like terms: 15x + 6x = 21x 24 + -3x = -35 + 21x Solving 24 + -3x = -35 + 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. 24 + -3x + -21x = -35 + 21x + -21x Combine like terms: -3x + -21x = -24x 24 + -24x = -35 + 21x + -21x Combine like terms: 21x + -21x = 0 24 + -24x = -35 + 0 24 + -24x = -35 Add '-24' to each side of the equation. 24 + -24 + -24x = -35 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = -35 + -24 -24x = -35 + -24 Combine like terms: -35 + -24 = -59 -24x = -59 Divide each side by '-24'. x = 2.458333333 Simplifying x = 2.458333333
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