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Simplifying 6x + 16 = 3x + -47 Reorder the terms: 16 + 6x = 3x + -47 Reorder the terms: 16 + 6x = -47 + 3x Solving 16 + 6x = -47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + 6x + -3x = -47 + 3x + -3x Combine like terms: 6x + -3x = 3x 16 + 3x = -47 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 3x = -47 + 0 16 + 3x = -47 Add '-16' to each side of the equation. 16 + -16 + 3x = -47 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = -47 + -16 3x = -47 + -16 Combine like terms: -47 + -16 = -63 3x = -63 Divide each side by '3'. x = -21 Simplifying x = -21
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