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Simplifying 2(3x + 7) + -10 + x = x + -1(-4x + -4) Reorder the terms: 2(7 + 3x) + -10 + x = x + -1(-4x + -4) (7 * 2 + 3x * 2) + -10 + x = x + -1(-4x + -4) (14 + 6x) + -10 + x = x + -1(-4x + -4) Reorder the terms: 14 + -10 + 6x + x = x + -1(-4x + -4) Combine like terms: 14 + -10 = 4 4 + 6x + x = x + -1(-4x + -4) Combine like terms: 6x + x = 7x 4 + 7x = x + -1(-4x + -4) Reorder the terms: 4 + 7x = x + -1(-4 + -4x) 4 + 7x = x + (-4 * -1 + -4x * -1) 4 + 7x = x + (4 + 4x) Reorder the terms: 4 + 7x = 4 + x + 4x Combine like terms: x + 4x = 5x 4 + 7x = 4 + 5x Add '-4' to each side of the equation. 4 + -4 + 7x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 7x = 4 + -4 + 5x 7x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 7x = 0 + 5x 7x = 5x Solving 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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