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Simplifying 3x + -3(2x + -8) = 2(3x + -7) + 8x Reorder the terms: 3x + -3(-8 + 2x) = 2(3x + -7) + 8x 3x + (-8 * -3 + 2x * -3) = 2(3x + -7) + 8x 3x + (24 + -6x) = 2(3x + -7) + 8x Reorder the terms: 24 + 3x + -6x = 2(3x + -7) + 8x Combine like terms: 3x + -6x = -3x 24 + -3x = 2(3x + -7) + 8x Reorder the terms: 24 + -3x = 2(-7 + 3x) + 8x 24 + -3x = (-7 * 2 + 3x * 2) + 8x 24 + -3x = (-14 + 6x) + 8x Combine like terms: 6x + 8x = 14x 24 + -3x = -14 + 14x Solving 24 + -3x = -14 + 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 = -14 + 14x + -14x Combine like terms: -3x + -14x = -17x 24 + -17x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -17x = -14 + 0 24 + -17x = -14 Add '-24' to each side of the equation. 24 + -24 + -17x = -14 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = -14 + -24 -17x = -14 + -24 Combine like terms: -14 + -24 = -38 -17x = -38 Divide each side by '-17'. x = 2.235294118 Simplifying x = 2.235294118
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