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Simplifying 3(4x + 5) + -2 = 6x + 1 Reorder the terms: 3(5 + 4x) + -2 = 6x + 1 (5 * 3 + 4x * 3) + -2 = 6x + 1 (15 + 12x) + -2 = 6x + 1 Reorder the terms: 15 + -2 + 12x = 6x + 1 Combine like terms: 15 + -2 = 13 13 + 12x = 6x + 1 Reorder the terms: 13 + 12x = 1 + 6x Solving 13 + 12x = 1 + 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. 13 + 12x + -6x = 1 + 6x + -6x Combine like terms: 12x + -6x = 6x 13 + 6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 6x = 1 + 0 13 + 6x = 1 Add '-13' to each side of the equation. 13 + -13 + 6x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 1 + -13 6x = 1 + -13 Combine like terms: 1 + -13 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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