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Simplifying 12x + 1 = -15x + -409 Reorder the terms: 1 + 12x = -15x + -409 Reorder the terms: 1 + 12x = -409 + -15x Solving 1 + 12x = -409 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 1 + 12x + 15x = -409 + -15x + 15x Combine like terms: 12x + 15x = 27x 1 + 27x = -409 + -15x + 15x Combine like terms: -15x + 15x = 0 1 + 27x = -409 + 0 1 + 27x = -409 Add '-1' to each side of the equation. 1 + -1 + 27x = -409 + -1 Combine like terms: 1 + -1 = 0 0 + 27x = -409 + -1 27x = -409 + -1 Combine like terms: -409 + -1 = -410 27x = -410 Divide each side by '27'. x = -15.18518519 Simplifying x = -15.18518519
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