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