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Simplifying 9x + -42 = 6(x + -4) Reorder the terms: -42 + 9x = 6(x + -4) Reorder the terms: -42 + 9x = 6(-4 + x) -42 + 9x = (-4 * 6 + x * 6) -42 + 9x = (-24 + 6x) Solving -42 + 9x = -24 + 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. -42 + 9x + -6x = -24 + 6x + -6x Combine like terms: 9x + -6x = 3x -42 + 3x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 3x = -24 + 0 -42 + 3x = -24 Add '42' to each side of the equation. -42 + 42 + 3x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -24 + 42 3x = -24 + 42 Combine like terms: -24 + 42 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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