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Simplifying -4x + 10 = -7x + x Reorder the terms: 10 + -4x = -7x + x Combine like terms: -7x + x = -6x 10 + -4x = -6x Solving 10 + -4x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + -4x + 6x = -6x + 6x Combine like terms: -4x + 6x = 2x 10 + 2x = -6x + 6x Combine like terms: -6x + 6x = 0 10 + 2x = 0 Add '-10' to each side of the equation. 10 + -10 + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 0 + -10 2x = 0 + -10 Combine like terms: 0 + -10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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