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Simplifying 3x + -3(2x + -8) = 3(3x + -7) + 5x Reorder the terms: 3x + -3(-8 + 2x) = 3(3x + -7) + 5x 3x + (-8 * -3 + 2x * -3) = 3(3x + -7) + 5x 3x + (24 + -6x) = 3(3x + -7) + 5x Reorder the terms: 24 + 3x + -6x = 3(3x + -7) + 5x Combine like terms: 3x + -6x = -3x 24 + -3x = 3(3x + -7) + 5x Reorder the terms: 24 + -3x = 3(-7 + 3x) + 5x 24 + -3x = (-7 * 3 + 3x * 3) + 5x 24 + -3x = (-21 + 9x) + 5x Combine like terms: 9x + 5x = 14x 24 + -3x = -21 + 14x Solving 24 + -3x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + -3x + -14x = -21 + 14x + -14x Combine like terms: -3x + -14x = -17x 24 + -17x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -17x = -21 + 0 24 + -17x = -21 Add '-24' to each side of the equation. 24 + -24 + -17x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = -21 + -24 -17x = -21 + -24 Combine like terms: -21 + -24 = -45 -17x = -45 Divide each side by '-17'. x = 2.647058824 Simplifying x = 2.647058824
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