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Simplifying 3x + 6(-7 + x) = 3x + -24 3x + (-7 * 6 + x * 6) = 3x + -24 3x + (-42 + 6x) = 3x + -24 Reorder the terms: -42 + 3x + 6x = 3x + -24 Combine like terms: 3x + 6x = 9x -42 + 9x = 3x + -24 Reorder the terms: -42 + 9x = -24 + 3x Solving -42 + 9x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 9x + -3x = -24 + 3x + -3x Combine like terms: 9x + -3x = 6x -42 + 6x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 6x = -24 + 0 -42 + 6x = -24 Add '42' to each side of the equation. -42 + 42 + 6x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -24 + 42 6x = -24 + 42 Combine like terms: -24 + 42 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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