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Simplifying -7(x + -3) = 6x + 47 Reorder the terms: -7(-3 + x) = 6x + 47 (-3 * -7 + x * -7) = 6x + 47 (21 + -7x) = 6x + 47 Reorder the terms: 21 + -7x = 47 + 6x Solving 21 + -7x = 47 + 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. 21 + -7x + -6x = 47 + 6x + -6x Combine like terms: -7x + -6x = -13x 21 + -13x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -13x = 47 + 0 21 + -13x = 47 Add '-21' to each side of the equation. 21 + -21 + -13x = 47 + -21 Combine like terms: 21 + -21 = 0 0 + -13x = 47 + -21 -13x = 47 + -21 Combine like terms: 47 + -21 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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