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Simplifying 5x + 16 = 12x + -47 Reorder the terms: 16 + 5x = 12x + -47 Reorder the terms: 16 + 5x = -47 + 12x Solving 16 + 5x = -47 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 5x + -12x = -47 + 12x + -12x Combine like terms: 5x + -12x = -7x 16 + -7x = -47 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -7x = -47 + 0 16 + -7x = -47 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 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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