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Simplifying 15x + 78 = -4 + -12 + 4x Reorder the terms: 78 + 15x = -4 + -12 + 4x Combine like terms: -4 + -12 = -16 78 + 15x = -16 + 4x Solving 78 + 15x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 78 + 15x + -4x = -16 + 4x + -4x Combine like terms: 15x + -4x = 11x 78 + 11x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + 11x = -16 + 0 78 + 11x = -16 Add '-78' to each side of the equation. 78 + -78 + 11x = -16 + -78 Combine like terms: 78 + -78 = 0 0 + 11x = -16 + -78 11x = -16 + -78 Combine like terms: -16 + -78 = -94 11x = -94 Divide each side by '11'. x = -8.545454545 Simplifying x = -8.545454545
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