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Simplifying 9 + -4(3 + -2x) = 5x + -3(x + 1) 9 + (3 * -4 + -2x * -4) = 5x + -3(x + 1) 9 + (-12 + 8x) = 5x + -3(x + 1) Combine like terms: 9 + -12 = -3 -3 + 8x = 5x + -3(x + 1) Reorder the terms: -3 + 8x = 5x + -3(1 + x) -3 + 8x = 5x + (1 * -3 + x * -3) -3 + 8x = 5x + (-3 + -3x) Reorder the terms: -3 + 8x = -3 + 5x + -3x Combine like terms: 5x + -3x = 2x -3 + 8x = -3 + 2x Add '3' to each side of the equation. -3 + 3 + 8x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 0 + 8x = -3 + 3 + 2x 8x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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