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Simplifying 105 + -1(7x + 9) = 7(x + 3) + x Reorder the terms: 105 + -1(9 + 7x) = 7(x + 3) + x 105 + (9 * -1 + 7x * -1) = 7(x + 3) + x 105 + (-9 + -7x) = 7(x + 3) + x Combine like terms: 105 + -9 = 96 96 + -7x = 7(x + 3) + x Reorder the terms: 96 + -7x = 7(3 + x) + x 96 + -7x = (3 * 7 + x * 7) + x 96 + -7x = (21 + 7x) + x Combine like terms: 7x + x = 8x 96 + -7x = 21 + 8x Solving 96 + -7x = 21 + 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. 96 + -7x + -8x = 21 + 8x + -8x Combine like terms: -7x + -8x = -15x 96 + -15x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 96 + -15x = 21 + 0 96 + -15x = 21 Add '-96' to each side of the equation. 96 + -96 + -15x = 21 + -96 Combine like terms: 96 + -96 = 0 0 + -15x = 21 + -96 -15x = 21 + -96 Combine like terms: 21 + -96 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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