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Simplifying 7x + 2 = 13x + -46 Reorder the terms: 2 + 7x = 13x + -46 Reorder the terms: 2 + 7x = -46 + 13x Solving 2 + 7x = -46 + 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. 2 + 7x + -13x = -46 + 13x + -13x Combine like terms: 7x + -13x = -6x 2 + -6x = -46 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -6x = -46 + 0 2 + -6x = -46 Add '-2' to each side of the equation. 2 + -2 + -6x = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -46 + -2 -6x = -46 + -2 Combine like terms: -46 + -2 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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