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Simplifying 7 + -1(x + 3) = 4(x + 1) Reorder the terms: 7 + -1(3 + x) = 4(x + 1) 7 + (3 * -1 + x * -1) = 4(x + 1) 7 + (-3 + -1x) = 4(x + 1) Combine like terms: 7 + -3 = 4 4 + -1x = 4(x + 1) Reorder the terms: 4 + -1x = 4(1 + x) 4 + -1x = (1 * 4 + x * 4) 4 + -1x = (4 + 4x) Add '-4' to each side of the equation. 4 + -4 + -1x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + -1x = 4 + -4 + 4x -1x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 -1x = 0 + 4x -1x = 4x Solving -1x = 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. -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x -5x = 4x + -4x Combine like terms: 4x + -4x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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