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Simplifying 10 + -7x = 4x + -5x + -32 Reorder the terms: 10 + -7x = -32 + 4x + -5x Combine like terms: 4x + -5x = -1x 10 + -7x = -32 + -1x Solving 10 + -7x = -32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -7x + x = -32 + -1x + x Combine like terms: -7x + x = -6x 10 + -6x = -32 + -1x + x Combine like terms: -1x + x = 0 10 + -6x = -32 + 0 10 + -6x = -32 Add '-10' to each side of the equation. 10 + -10 + -6x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -32 + -10 -6x = -32 + -10 Combine like terms: -32 + -10 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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