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Simplifying 9(x + -6) = 6x + -42 Reorder the terms: 9(-6 + x) = 6x + -42 (-6 * 9 + x * 9) = 6x + -42 (-54 + 9x) = 6x + -42 Reorder the terms: -54 + 9x = -42 + 6x Solving -54 + 9x = -42 + 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. -54 + 9x + -6x = -42 + 6x + -6x Combine like terms: 9x + -6x = 3x -54 + 3x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -54 + 3x = -42 + 0 -54 + 3x = -42 Add '54' to each side of the equation. -54 + 54 + 3x = -42 + 54 Combine like terms: -54 + 54 = 0 0 + 3x = -42 + 54 3x = -42 + 54 Combine like terms: -42 + 54 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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