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Simplifying 8x + -1(3x + -7) = 2(x + 3) + 1 Reorder the terms: 8x + -1(-7 + 3x) = 2(x + 3) + 1 8x + (-7 * -1 + 3x * -1) = 2(x + 3) + 1 8x + (7 + -3x) = 2(x + 3) + 1 Reorder the terms: 7 + 8x + -3x = 2(x + 3) + 1 Combine like terms: 8x + -3x = 5x 7 + 5x = 2(x + 3) + 1 Reorder the terms: 7 + 5x = 2(3 + x) + 1 7 + 5x = (3 * 2 + x * 2) + 1 7 + 5x = (6 + 2x) + 1 Reorder the terms: 7 + 5x = 6 + 1 + 2x Combine like terms: 6 + 1 = 7 7 + 5x = 7 + 2x Add '-7' to each side of the equation. 7 + -7 + 5x = 7 + -7 + 2x Combine like terms: 7 + -7 = 0 0 + 5x = 7 + -7 + 2x 5x = 7 + -7 + 2x Combine like terms: 7 + -7 = 0 5x = 0 + 2x 5x = 2x Solving 5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x 3x = 2x + -2x Combine like terms: 2x + -2x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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