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Simplifying 6x + 8 + -9 = 10x + -21 Reorder the terms: 8 + -9 + 6x = 10x + -21 Combine like terms: 8 + -9 = -1 -1 + 6x = 10x + -21 Reorder the terms: -1 + 6x = -21 + 10x Solving -1 + 6x = -21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + 6x + -10x = -21 + 10x + -10x Combine like terms: 6x + -10x = -4x -1 + -4x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + -4x = -21 + 0 -1 + -4x = -21 Add '1' to each side of the equation. -1 + 1 + -4x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -21 + 1 -4x = -21 + 1 Combine like terms: -21 + 1 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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