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Simplifying 4(x + -1) = 5x + 7 Reorder the terms: 4(-1 + x) = 5x + 7 (-1 * 4 + x * 4) = 5x + 7 (-4 + 4x) = 5x + 7 Reorder the terms: -4 + 4x = 7 + 5x Solving -4 + 4x = 7 + 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. -4 + 4x + -5x = 7 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 7 + 0 -4 + -1x = 7 Add '4' to each side of the equation. -4 + 4 + -1x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 7 + 4 -1x = 7 + 4 Combine like terms: 7 + 4 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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