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Simplifying 4x + -5(x + 1) = 7 Reorder the terms: 4x + -5(1 + x) = 7 4x + (1 * -5 + x * -5) = 7 4x + (-5 + -5x) = 7 Reorder the terms: -5 + 4x + -5x = 7 Combine like terms: 4x + -5x = -1x -5 + -1x = 7 Solving -5 + -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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