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Simplifying 15x + 12 + -6x = -4x + -16 + -1x Reorder the terms: 12 + 15x + -6x = -4x + -16 + -1x Combine like terms: 15x + -6x = 9x 12 + 9x = -4x + -16 + -1x Reorder the terms: 12 + 9x = -16 + -4x + -1x Combine like terms: -4x + -1x = -5x 12 + 9x = -16 + -5x Solving 12 + 9x = -16 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 9x + 5x = -16 + -5x + 5x Combine like terms: 9x + 5x = 14x 12 + 14x = -16 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 14x = -16 + 0 12 + 14x = -16 Add '-12' to each side of the equation. 12 + -12 + 14x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -16 + -12 14x = -16 + -12 Combine like terms: -16 + -12 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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