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