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Simplifying 3x + 6(x + -7) = 3(x + -6) Reorder the terms: 3x + 6(-7 + x) = 3(x + -6) 3x + (-7 * 6 + x * 6) = 3(x + -6) 3x + (-42 + 6x) = 3(x + -6) Reorder the terms: -42 + 3x + 6x = 3(x + -6) Combine like terms: 3x + 6x = 9x -42 + 9x = 3(x + -6) Reorder the terms: -42 + 9x = 3(-6 + x) -42 + 9x = (-6 * 3 + x * 3) -42 + 9x = (-18 + 3x) Solving -42 + 9x = -18 + 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 = -18 + 3x + -3x Combine like terms: 9x + -3x = 6x -42 + 6x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 6x = -18 + 0 -42 + 6x = -18 Add '42' to each side of the equation. -42 + 42 + 6x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -18 + 42 6x = -18 + 42 Combine like terms: -18 + 42 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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