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Simplifying -3(3x + 7) + 102 = 6(x + 6) Reorder the terms: -3(7 + 3x) + 102 = 6(x + 6) (7 * -3 + 3x * -3) + 102 = 6(x + 6) (-21 + -9x) + 102 = 6(x + 6) Reorder the terms: -21 + 102 + -9x = 6(x + 6) Combine like terms: -21 + 102 = 81 81 + -9x = 6(x + 6) Reorder the terms: 81 + -9x = 6(6 + x) 81 + -9x = (6 * 6 + x * 6) 81 + -9x = (36 + 6x) Solving 81 + -9x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 81 + -9x + -6x = 36 + 6x + -6x Combine like terms: -9x + -6x = -15x 81 + -15x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 81 + -15x = 36 + 0 81 + -15x = 36 Add '-81' to each side of the equation. 81 + -81 + -15x = 36 + -81 Combine like terms: 81 + -81 = 0 0 + -15x = 36 + -81 -15x = 36 + -81 Combine like terms: 36 + -81 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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