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