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Simplifying -15x + 22 + 8x + -6 = 47 Reorder the terms: 22 + -6 + -15x + 8x = 47 Combine like terms: 22 + -6 = 16 16 + -15x + 8x = 47 Combine like terms: -15x + 8x = -7x 16 + -7x = 47 Solving 16 + -7x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7x = 47 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 47 + -16 -7x = 47 + -16 Combine like terms: 47 + -16 = 31 -7x = 31 Divide each side by '-7'. x = -4.428571429 Simplifying x = -4.428571429
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