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Simplifying 7x + 18 = 13x + -12 Reorder the terms: 18 + 7x = 13x + -12 Reorder the terms: 18 + 7x = -12 + 13x Solving 18 + 7x = -12 + 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. 18 + 7x + -13x = -12 + 13x + -13x Combine like terms: 7x + -13x = -6x 18 + -6x = -12 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -6x = -12 + 0 18 + -6x = -12 Add '-18' to each side of the equation. 18 + -18 + -6x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -12 + -18 -6x = -12 + -18 Combine like terms: -12 + -18 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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