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Simplifying 3x + -6 + 8x + -24 = 6x + -24 + 16x + 8 Reorder the terms: -6 + -24 + 3x + 8x = 6x + -24 + 16x + 8 Combine like terms: -6 + -24 = -30 -30 + 3x + 8x = 6x + -24 + 16x + 8 Combine like terms: 3x + 8x = 11x -30 + 11x = 6x + -24 + 16x + 8 Reorder the terms: -30 + 11x = -24 + 8 + 6x + 16x Combine like terms: -24 + 8 = -16 -30 + 11x = -16 + 6x + 16x Combine like terms: 6x + 16x = 22x -30 + 11x = -16 + 22x Solving -30 + 11x = -16 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -30 + 11x + -22x = -16 + 22x + -22x Combine like terms: 11x + -22x = -11x -30 + -11x = -16 + 22x + -22x Combine like terms: 22x + -22x = 0 -30 + -11x = -16 + 0 -30 + -11x = -16 Add '30' to each side of the equation. -30 + 30 + -11x = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -11x = -16 + 30 -11x = -16 + 30 Combine like terms: -16 + 30 = 14 -11x = 14 Divide each side by '-11'. x = -1.272727273 Simplifying x = -1.272727273
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