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Simplifying 83 + -1(7x + 10) = 7(x + 4) + x Reorder the terms: 83 + -1(10 + 7x) = 7(x + 4) + x 83 + (10 * -1 + 7x * -1) = 7(x + 4) + x 83 + (-10 + -7x) = 7(x + 4) + x Combine like terms: 83 + -10 = 73 73 + -7x = 7(x + 4) + x Reorder the terms: 73 + -7x = 7(4 + x) + x 73 + -7x = (4 * 7 + x * 7) + x 73 + -7x = (28 + 7x) + x Combine like terms: 7x + x = 8x 73 + -7x = 28 + 8x Solving 73 + -7x = 28 + 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. 73 + -7x + -8x = 28 + 8x + -8x Combine like terms: -7x + -8x = -15x 73 + -15x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 73 + -15x = 28 + 0 73 + -15x = 28 Add '-73' to each side of the equation. 73 + -73 + -15x = 28 + -73 Combine like terms: 73 + -73 = 0 0 + -15x = 28 + -73 -15x = 28 + -73 Combine like terms: 28 + -73 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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