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Simplifying X + -7 = 48 + -7(X + 9) Reorder the terms: -7 + X = 48 + -7(X + 9) Reorder the terms: -7 + X = 48 + -7(9 + X) -7 + X = 48 + (9 * -7 + X * -7) -7 + X = 48 + (-63 + -7X) Combine like terms: 48 + -63 = -15 -7 + X = -15 + -7X Solving -7 + X = -15 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. -7 + X + 7X = -15 + -7X + 7X Combine like terms: X + 7X = 8X -7 + 8X = -15 + -7X + 7X Combine like terms: -7X + 7X = 0 -7 + 8X = -15 + 0 -7 + 8X = -15 Add '7' to each side of the equation. -7 + 7 + 8X = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 8X = -15 + 7 8X = -15 + 7 Combine like terms: -15 + 7 = -8 8X = -8 Divide each side by '8'. X = -1 Simplifying X = -1
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