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Simplifying 83 + -1(7x + 3) = 7(x + 5) + x Reorder the terms: 83 + -1(3 + 7x) = 7(x + 5) + x 83 + (3 * -1 + 7x * -1) = 7(x + 5) + x 83 + (-3 + -7x) = 7(x + 5) + x Combine like terms: 83 + -3 = 80 80 + -7x = 7(x + 5) + x Reorder the terms: 80 + -7x = 7(5 + x) + x 80 + -7x = (5 * 7 + x * 7) + x 80 + -7x = (35 + 7x) + x Combine like terms: 7x + x = 8x 80 + -7x = 35 + 8x Solving 80 + -7x = 35 + 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. 80 + -7x + -8x = 35 + 8x + -8x Combine like terms: -7x + -8x = -15x 80 + -15x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 80 + -15x = 35 + 0 80 + -15x = 35 Add '-80' to each side of the equation. 80 + -80 + -15x = 35 + -80 Combine like terms: 80 + -80 = 0 0 + -15x = 35 + -80 -15x = 35 + -80 Combine like terms: 35 + -80 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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