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Simplifying 6x + 21 = 13x + -42 Reorder the terms: 21 + 6x = 13x + -42 Reorder the terms: 21 + 6x = -42 + 13x Solving 21 + 6x = -42 + 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 + 6x + -13x = -42 + 13x + -13x Combine like terms: 6x + -13x = -7x 21 + -7x = -42 + 13x + -13x Combine like terms: 13x + -13x = 0 21 + -7x = -42 + 0 21 + -7x = -42 Add '-21' to each side of the equation. 21 + -21 + -7x = -42 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = -42 + -21 -7x = -42 + -21 Combine like terms: -42 + -21 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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