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Simplifying 6(x + -4) = 9x + -42 Reorder the terms: 6(-4 + x) = 9x + -42 (-4 * 6 + x * 6) = 9x + -42 (-24 + 6x) = 9x + -42 Reorder the terms: -24 + 6x = -42 + 9x Solving -24 + 6x = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 6x + -9x = -42 + 9x + -9x Combine like terms: 6x + -9x = -3x -24 + -3x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + -3x = -42 + 0 -24 + -3x = -42 Add '24' to each side of the equation. -24 + 24 + -3x = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -42 + 24 -3x = -42 + 24 Combine like terms: -42 + 24 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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