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Simplifying 4x + 5 + -1(2x + -5) = 9 + -1(8x + -1) + x Reorder the terms: 4x + 5 + -1(-5 + 2x) = 9 + -1(8x + -1) + x 4x + 5 + (-5 * -1 + 2x * -1) = 9 + -1(8x + -1) + x 4x + 5 + (5 + -2x) = 9 + -1(8x + -1) + x Reorder the terms: 5 + 5 + 4x + -2x = 9 + -1(8x + -1) + x Combine like terms: 5 + 5 = 10 10 + 4x + -2x = 9 + -1(8x + -1) + x Combine like terms: 4x + -2x = 2x 10 + 2x = 9 + -1(8x + -1) + x Reorder the terms: 10 + 2x = 9 + -1(-1 + 8x) + x 10 + 2x = 9 + (-1 * -1 + 8x * -1) + x 10 + 2x = 9 + (1 + -8x) + x Combine like terms: 9 + 1 = 10 10 + 2x = 10 + -8x + x Combine like terms: -8x + x = -7x 10 + 2x = 10 + -7x Add '-10' to each side of the equation. 10 + -10 + 2x = 10 + -10 + -7x Combine like terms: 10 + -10 = 0 0 + 2x = 10 + -10 + -7x 2x = 10 + -10 + -7x Combine like terms: 10 + -10 = 0 2x = 0 + -7x 2x = -7x Solving 2x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2x + 7x = -7x + 7x Combine like terms: 2x + 7x = 9x 9x = -7x + 7x Combine like terms: -7x + 7x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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