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Simplifying x + -6 = 39 + -16(x + 6) Reorder the terms: -6 + x = 39 + -16(x + 6) Reorder the terms: -6 + x = 39 + -16(6 + x) -6 + x = 39 + (6 * -16 + x * -16) -6 + x = 39 + (-96 + -16x) Combine like terms: 39 + -96 = -57 -6 + x = -57 + -16x Solving -6 + x = -57 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -6 + x + 16x = -57 + -16x + 16x Combine like terms: x + 16x = 17x -6 + 17x = -57 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 17x = -57 + 0 -6 + 17x = -57 Add '6' to each side of the equation. -6 + 6 + 17x = -57 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = -57 + 6 17x = -57 + 6 Combine like terms: -57 + 6 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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