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Simplifying 10 + -7x = 10x + -9x + -22 Reorder the terms: 10 + -7x = -22 + 10x + -9x Combine like terms: 10x + -9x = 1x 10 + -7x = -22 + 1x Solving 10 + -7x = -22 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -7x + -1x = -22 + 1x + -1x Combine like terms: -7x + -1x = -8x 10 + -8x = -22 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -8x = -22 + 0 10 + -8x = -22 Add '-10' to each side of the equation. 10 + -10 + -8x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -22 + -10 -8x = -22 + -10 Combine like terms: -22 + -10 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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