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Simplifying 3(4x + 3) + 2(3x + 2) = 2x + 77 Reorder the terms: 3(3 + 4x) + 2(3x + 2) = 2x + 77 (3 * 3 + 4x * 3) + 2(3x + 2) = 2x + 77 (9 + 12x) + 2(3x + 2) = 2x + 77 Reorder the terms: 9 + 12x + 2(2 + 3x) = 2x + 77 9 + 12x + (2 * 2 + 3x * 2) = 2x + 77 9 + 12x + (4 + 6x) = 2x + 77 Reorder the terms: 9 + 4 + 12x + 6x = 2x + 77 Combine like terms: 9 + 4 = 13 13 + 12x + 6x = 2x + 77 Combine like terms: 12x + 6x = 18x 13 + 18x = 2x + 77 Reorder the terms: 13 + 18x = 77 + 2x Solving 13 + 18x = 77 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 18x + -2x = 77 + 2x + -2x Combine like terms: 18x + -2x = 16x 13 + 16x = 77 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 16x = 77 + 0 13 + 16x = 77 Add '-13' to each side of the equation. 13 + -13 + 16x = 77 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 77 + -13 16x = 77 + -13 Combine like terms: 77 + -13 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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