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Simplifying 102 = 7x + 6(x + 4) Reorder the terms: 102 = 7x + 6(4 + x) 102 = 7x + (4 * 6 + x * 6) 102 = 7x + (24 + 6x) Reorder the terms: 102 = 24 + 7x + 6x Combine like terms: 7x + 6x = 13x 102 = 24 + 13x Solving 102 = 24 + 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. 102 + -13x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 102 + -13x = 24 + 0 102 + -13x = 24 Add '-102' to each side of the equation. 102 + -102 + -13x = 24 + -102 Combine like terms: 102 + -102 = 0 0 + -13x = 24 + -102 -13x = 24 + -102 Combine like terms: 24 + -102 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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