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Simplifying 169 + -1(7x + 16) = 7(x + 9) + x Reorder the terms: 169 + -1(16 + 7x) = 7(x + 9) + x 169 + (16 * -1 + 7x * -1) = 7(x + 9) + x 169 + (-16 + -7x) = 7(x + 9) + x Combine like terms: 169 + -16 = 153 153 + -7x = 7(x + 9) + x Reorder the terms: 153 + -7x = 7(9 + x) + x 153 + -7x = (9 * 7 + x * 7) + x 153 + -7x = (63 + 7x) + x Combine like terms: 7x + x = 8x 153 + -7x = 63 + 8x Solving 153 + -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. 153 + -7x + -8x = 63 + 8x + -8x Combine like terms: -7x + -8x = -15x 153 + -15x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 153 + -15x = 63 + 0 153 + -15x = 63 Add '-153' to each side of the equation. 153 + -153 + -15x = 63 + -153 Combine like terms: 153 + -153 = 0 0 + -15x = 63 + -153 -15x = 63 + -153 Combine like terms: 63 + -153 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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