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Simplifying x + -6 = 66 + -15(x + 8) Reorder the terms: -6 + x = 66 + -15(x + 8) Reorder the terms: -6 + x = 66 + -15(8 + x) -6 + x = 66 + (8 * -15 + x * -15) -6 + x = 66 + (-120 + -15x) Combine like terms: 66 + -120 = -54 -6 + x = -54 + -15x Solving -6 + x = -54 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -6 + x + 15x = -54 + -15x + 15x Combine like terms: x + 15x = 16x -6 + 16x = -54 + -15x + 15x Combine like terms: -15x + 15x = 0 -6 + 16x = -54 + 0 -6 + 16x = -54 Add '6' to each side of the equation. -6 + 6 + 16x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -54 + 6 16x = -54 + 6 Combine like terms: -54 + 6 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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