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Simplifying 16x = 47 + -3(-8x + 21) Reorder the terms: 16x = 47 + -3(21 + -8x) 16x = 47 + (21 * -3 + -8x * -3) 16x = 47 + (-63 + 24x) Combine like terms: 47 + -63 = -16 16x = -16 + 24x Solving 16x = -16 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 16x + -24x = -16 + 24x + -24x Combine like terms: 16x + -24x = -8x -8x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 -8x = -16 + 0 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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