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Simplifying 13x + 7 = 8x + 6 + 4x + 12 Reorder the terms: 7 + 13x = 8x + 6 + 4x + 12 Reorder the terms: 7 + 13x = 6 + 12 + 8x + 4x Combine like terms: 6 + 12 = 18 7 + 13x = 18 + 8x + 4x Combine like terms: 8x + 4x = 12x 7 + 13x = 18 + 12x Solving 7 + 13x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 13x + -12x = 18 + 12x + -12x Combine like terms: 13x + -12x = 1x 7 + 1x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 1x = 18 + 0 7 + 1x = 18 Add '-7' to each side of the equation. 7 + -7 + 1x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 18 + -7 1x = 18 + -7 Combine like terms: 18 + -7 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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