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Simplifying 9x + -4 = (x + -1) * 6 + -4 Reorder the terms: -4 + 9x = (x + -1) * 6 + -4 Reorder the terms: -4 + 9x = (-1 + x) * 6 + -4 Reorder the terms for easier multiplication: -4 + 9x = 6(-1 + x) + -4 -4 + 9x = (-1 * 6 + x * 6) + -4 -4 + 9x = (-6 + 6x) + -4 Reorder the terms: -4 + 9x = -6 + -4 + 6x Combine like terms: -6 + -4 = -10 -4 + 9x = -10 + 6x Solving -4 + 9x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 9x + -6x = -10 + 6x + -6x Combine like terms: 9x + -6x = 3x -4 + 3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 3x = -10 + 0 -4 + 3x = -10 Add '4' to each side of the equation. -4 + 4 + 3x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -10 + 4 3x = -10 + 4 Combine like terms: -10 + 4 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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