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Simplifying x + -7 = 49 + -15(x + 8) Reorder the terms: -7 + x = 49 + -15(x + 8) Reorder the terms: -7 + x = 49 + -15(8 + x) -7 + x = 49 + (8 * -15 + x * -15) -7 + x = 49 + (-120 + -15x) Combine like terms: 49 + -120 = -71 -7 + x = -71 + -15x Solving -7 + x = -71 + -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. -7 + x + 15x = -71 + -15x + 15x Combine like terms: x + 15x = 16x -7 + 16x = -71 + -15x + 15x Combine like terms: -15x + 15x = 0 -7 + 16x = -71 + 0 -7 + 16x = -71 Add '7' to each side of the equation. -7 + 7 + 16x = -71 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = -71 + 7 16x = -71 + 7 Combine like terms: -71 + 7 = -64 16x = -64 Divide each side by '16'. x = -4 Simplifying x = -4
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