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Simplifying 3x + 21 + 7x = -21 + 13x + 6 Reorder the terms: 21 + 3x + 7x = -21 + 13x + 6 Combine like terms: 3x + 7x = 10x 21 + 10x = -21 + 13x + 6 Reorder the terms: 21 + 10x = -21 + 6 + 13x Combine like terms: -21 + 6 = -15 21 + 10x = -15 + 13x Solving 21 + 10x = -15 + 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 + 10x + -13x = -15 + 13x + -13x Combine like terms: 10x + -13x = -3x 21 + -3x = -15 + 13x + -13x Combine like terms: 13x + -13x = 0 21 + -3x = -15 + 0 21 + -3x = -15 Add '-21' to each side of the equation. 21 + -21 + -3x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -15 + -21 -3x = -15 + -21 Combine like terms: -15 + -21 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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