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Simplifying 4(x + -1) = 7x + 20 Reorder the terms: 4(-1 + x) = 7x + 20 (-1 * 4 + x * 4) = 7x + 20 (-4 + 4x) = 7x + 20 Reorder the terms: -4 + 4x = 20 + 7x Solving -4 + 4x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 4x + -7x = 20 + 7x + -7x Combine like terms: 4x + -7x = -3x -4 + -3x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -3x = 20 + 0 -4 + -3x = 20 Add '4' to each side of the equation. -4 + 4 + -3x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 20 + 4 -3x = 20 + 4 Combine like terms: 20 + 4 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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