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Simplifying 53 + -1(7x + 9) = 7(x + 2) + x Reorder the terms: 53 + -1(9 + 7x) = 7(x + 2) + x 53 + (9 * -1 + 7x * -1) = 7(x + 2) + x 53 + (-9 + -7x) = 7(x + 2) + x Combine like terms: 53 + -9 = 44 44 + -7x = 7(x + 2) + x Reorder the terms: 44 + -7x = 7(2 + x) + x 44 + -7x = (2 * 7 + x * 7) + x 44 + -7x = (14 + 7x) + x Combine like terms: 7x + x = 8x 44 + -7x = 14 + 8x Solving 44 + -7x = 14 + 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. 44 + -7x + -8x = 14 + 8x + -8x Combine like terms: -7x + -8x = -15x 44 + -15x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 44 + -15x = 14 + 0 44 + -15x = 14 Add '-44' to each side of the equation. 44 + -44 + -15x = 14 + -44 Combine like terms: 44 + -44 = 0 0 + -15x = 14 + -44 -15x = 14 + -44 Combine like terms: 14 + -44 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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