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Simplifying 4(1 + -1x) + 3(x + -3) + -2(2 + 2x) = 3(x + -3) (1 * 4 + -1x * 4) + 3(x + -3) + -2(2 + 2x) = 3(x + -3) (4 + -4x) + 3(x + -3) + -2(2 + 2x) = 3(x + -3) Reorder the terms: 4 + -4x + 3(-3 + x) + -2(2 + 2x) = 3(x + -3) 4 + -4x + (-3 * 3 + x * 3) + -2(2 + 2x) = 3(x + -3) 4 + -4x + (-9 + 3x) + -2(2 + 2x) = 3(x + -3) 4 + -4x + -9 + 3x + (2 * -2 + 2x * -2) = 3(x + -3) 4 + -4x + -9 + 3x + (-4 + -4x) = 3(x + -3) Reorder the terms: 4 + -9 + -4 + -4x + 3x + -4x = 3(x + -3) Combine like terms: 4 + -9 = -5 -5 + -4 + -4x + 3x + -4x = 3(x + -3) Combine like terms: -5 + -4 = -9 -9 + -4x + 3x + -4x = 3(x + -3) Combine like terms: -4x + 3x = -1x -9 + -1x + -4x = 3(x + -3) Combine like terms: -1x + -4x = -5x -9 + -5x = 3(x + -3) Reorder the terms: -9 + -5x = 3(-3 + x) -9 + -5x = (-3 * 3 + x * 3) -9 + -5x = (-9 + 3x) Add '9' to each side of the equation. -9 + 9 + -5x = -9 + 9 + 3x Combine like terms: -9 + 9 = 0 0 + -5x = -9 + 9 + 3x -5x = -9 + 9 + 3x Combine like terms: -9 + 9 = 0 -5x = 0 + 3x -5x = 3x Solving -5x = 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. -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x -8x = 3x + -3x Combine like terms: 3x + -3x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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