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Simplifying 9x + -10 + -5x + 12 = x + 6 + -3x + 10 Reorder the terms: -10 + 12 + 9x + -5x = x + 6 + -3x + 10 Combine like terms: -10 + 12 = 2 2 + 9x + -5x = x + 6 + -3x + 10 Combine like terms: 9x + -5x = 4x 2 + 4x = x + 6 + -3x + 10 Reorder the terms: 2 + 4x = 6 + 10 + x + -3x Combine like terms: 6 + 10 = 16 2 + 4x = 16 + x + -3x Combine like terms: x + -3x = -2x 2 + 4x = 16 + -2x Solving 2 + 4x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 4x + 2x = 16 + -2x + 2x Combine like terms: 4x + 2x = 6x 2 + 6x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 6x = 16 + 0 2 + 6x = 16 Add '-2' to each side of the equation. 2 + -2 + 6x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 16 + -2 6x = 16 + -2 Combine like terms: 16 + -2 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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