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Simplifying 138 + -1(7x + 15) = 7(x + 9) + x Reorder the terms: 138 + -1(15 + 7x) = 7(x + 9) + x 138 + (15 * -1 + 7x * -1) = 7(x + 9) + x 138 + (-15 + -7x) = 7(x + 9) + x Combine like terms: 138 + -15 = 123 123 + -7x = 7(x + 9) + x Reorder the terms: 123 + -7x = 7(9 + x) + x 123 + -7x = (9 * 7 + x * 7) + x 123 + -7x = (63 + 7x) + x Combine like terms: 7x + x = 8x 123 + -7x = 63 + 8x Solving 123 + -7x = 63 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 123 + -7x + -8x = 63 + 8x + -8x Combine like terms: -7x + -8x = -15x 123 + -15x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 123 + -15x = 63 + 0 123 + -15x = 63 Add '-123' to each side of the equation. 123 + -123 + -15x = 63 + -123 Combine like terms: 123 + -123 = 0 0 + -15x = 63 + -123 -15x = 63 + -123 Combine like terms: 63 + -123 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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