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Simplifying 8x + -30 + 6x + -21 = 10x + -27 + 2x + 9 Reorder the terms: -30 + -21 + 8x + 6x = 10x + -27 + 2x + 9 Combine like terms: -30 + -21 = -51 -51 + 8x + 6x = 10x + -27 + 2x + 9 Combine like terms: 8x + 6x = 14x -51 + 14x = 10x + -27 + 2x + 9 Reorder the terms: -51 + 14x = -27 + 9 + 10x + 2x Combine like terms: -27 + 9 = -18 -51 + 14x = -18 + 10x + 2x Combine like terms: 10x + 2x = 12x -51 + 14x = -18 + 12x Solving -51 + 14x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -51 + 14x + -12x = -18 + 12x + -12x Combine like terms: 14x + -12x = 2x -51 + 2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -51 + 2x = -18 + 0 -51 + 2x = -18 Add '51' to each side of the equation. -51 + 51 + 2x = -18 + 51 Combine like terms: -51 + 51 = 0 0 + 2x = -18 + 51 2x = -18 + 51 Combine like terms: -18 + 51 = 33 2x = 33 Divide each side by '2'. x = 16.5 Simplifying x = 16.5
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