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Simplifying 21 = 6(x + -3) + 7x Reorder the terms: 21 = 6(-3 + x) + 7x 21 = (-3 * 6 + x * 6) + 7x 21 = (-18 + 6x) + 7x Combine like terms: 6x + 7x = 13x 21 = -18 + 13x Solving 21 = -18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 21 + -13x = -18 + 13x + -13x Combine like terms: 13x + -13x = 0 21 + -13x = -18 + 0 21 + -13x = -18 Add '-21' to each side of the equation. 21 + -21 + -13x = -18 + -21 Combine like terms: 21 + -21 = 0 0 + -13x = -18 + -21 -13x = -18 + -21 Combine like terms: -18 + -21 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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