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