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Simplifying -17 + 33 = -4(x + 6) Combine like terms: -17 + 33 = 16 16 = -4(x + 6) Reorder the terms: 16 = -4(6 + x) 16 = (6 * -4 + x * -4) 16 = (-24 + -4x) Solving 16 = -24 + -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. 16 + 4x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 4x = -24 + 0 16 + 4x = -24 Add '-16' to each side of the equation. 16 + -16 + 4x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -24 + -16 4x = -24 + -16 Combine like terms: -24 + -16 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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