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Simplifying 102 + -1(7x + 9) = 7(x + 9) + x Reorder the terms: 102 + -1(9 + 7x) = 7(x + 9) + x 102 + (9 * -1 + 7x * -1) = 7(x + 9) + x 102 + (-9 + -7x) = 7(x + 9) + x Combine like terms: 102 + -9 = 93 93 + -7x = 7(x + 9) + x Reorder the terms: 93 + -7x = 7(9 + x) + x 93 + -7x = (9 * 7 + x * 7) + x 93 + -7x = (63 + 7x) + x Combine like terms: 7x + x = 8x 93 + -7x = 63 + 8x Solving 93 + -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. 93 + -7x + -8x = 63 + 8x + -8x Combine like terms: -7x + -8x = -15x 93 + -15x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 93 + -15x = 63 + 0 93 + -15x = 63 Add '-93' to each side of the equation. 93 + -93 + -15x = 63 + -93 Combine like terms: 93 + -93 = 0 0 + -15x = 63 + -93 -15x = 63 + -93 Combine like terms: 63 + -93 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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