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Simplifying -4(x + 1) = -3(x + 3) Reorder the terms: -4(1 + x) = -3(x + 3) (1 * -4 + x * -4) = -3(x + 3) (-4 + -4x) = -3(x + 3) Reorder the terms: -4 + -4x = -3(3 + x) -4 + -4x = (3 * -3 + x * -3) -4 + -4x = (-9 + -3x) Solving -4 + -4x = -9 + -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 = -9 + -3x + 3x Combine like terms: -4x + 3x = -1x -4 + -1x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + -1x = -9 + 0 -4 + -1x = -9 Add '4' to each side of the equation. -4 + 4 + -1x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -9 + 4 -1x = -9 + 4 Combine like terms: -9 + 4 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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