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