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Simplifying -5(x + -1) + 7x = 4x + -4 Reorder the terms: -5(-1 + x) + 7x = 4x + -4 (-1 * -5 + x * -5) + 7x = 4x + -4 (5 + -5x) + 7x = 4x + -4 Combine like terms: -5x + 7x = 2x 5 + 2x = 4x + -4 Reorder the terms: 5 + 2x = -4 + 4x Solving 5 + 2x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 2x + -4x = -4 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = -4 + 0 5 + -2x = -4 Add '-5' to each side of the equation. 5 + -5 + -2x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -4 + -5 -2x = -4 + -5 Combine like terms: -4 + -5 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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