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Simplifying 10x + 1 + -7x = 5x + -5 + 4x Reorder the terms: 1 + 10x + -7x = 5x + -5 + 4x Combine like terms: 10x + -7x = 3x 1 + 3x = 5x + -5 + 4x Reorder the terms: 1 + 3x = -5 + 5x + 4x Combine like terms: 5x + 4x = 9x 1 + 3x = -5 + 9x Solving 1 + 3x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 3x + -9x = -5 + 9x + -9x Combine like terms: 3x + -9x = -6x 1 + -6x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -6x = -5 + 0 1 + -6x = -5 Add '-1' to each side of the equation. 1 + -1 + -6x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -5 + -1 -6x = -5 + -1 Combine like terms: -5 + -1 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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