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Simplifying 102 = 3x + 18 + 4x + -7 Reorder the terms: 102 = 18 + -7 + 3x + 4x Combine like terms: 18 + -7 = 11 102 = 11 + 3x + 4x Combine like terms: 3x + 4x = 7x 102 = 11 + 7x Solving 102 = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 102 + -7x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 102 + -7x = 11 + 0 102 + -7x = 11 Add '-102' to each side of the equation. 102 + -102 + -7x = 11 + -102 Combine like terms: 102 + -102 = 0 0 + -7x = 11 + -102 -7x = 11 + -102 Combine like terms: 11 + -102 = -91 -7x = -91 Divide each side by '-7'. x = 13 Simplifying x = 13
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