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Simplifying (2 + 3x) * 3 + -128 + 12x = x + 6(2x + 1) Reorder the terms for easier multiplication: 3(2 + 3x) + -128 + 12x = x + 6(2x + 1) (2 * 3 + 3x * 3) + -128 + 12x = x + 6(2x + 1) (6 + 9x) + -128 + 12x = x + 6(2x + 1) Reorder the terms: 6 + -128 + 9x + 12x = x + 6(2x + 1) Combine like terms: 6 + -128 = -122 -122 + 9x + 12x = x + 6(2x + 1) Combine like terms: 9x + 12x = 21x -122 + 21x = x + 6(2x + 1) Reorder the terms: -122 + 21x = x + 6(1 + 2x) -122 + 21x = x + (1 * 6 + 2x * 6) -122 + 21x = x + (6 + 12x) Reorder the terms: -122 + 21x = 6 + x + 12x Combine like terms: x + 12x = 13x -122 + 21x = 6 + 13x Solving -122 + 21x = 6 + 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. -122 + 21x + -13x = 6 + 13x + -13x Combine like terms: 21x + -13x = 8x -122 + 8x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 -122 + 8x = 6 + 0 -122 + 8x = 6 Add '122' to each side of the equation. -122 + 122 + 8x = 6 + 122 Combine like terms: -122 + 122 = 0 0 + 8x = 6 + 122 8x = 6 + 122 Combine like terms: 6 + 122 = 128 8x = 128 Divide each side by '8'. x = 16 Simplifying x = 16
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