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Simplifying 9x + -8 + -1(2x + 4) + 18 + -7 = 5x + -3 Reorder the terms: 9x + -8 + -1(4 + 2x) + 18 + -7 = 5x + -3 9x + -8 + (4 * -1 + 2x * -1) + 18 + -7 = 5x + -3 9x + -8 + (-4 + -2x) + 18 + -7 = 5x + -3 Reorder the terms: -8 + -4 + 18 + -7 + 9x + -2x = 5x + -3 Combine like terms: -8 + -4 = -12 -12 + 18 + -7 + 9x + -2x = 5x + -3 Combine like terms: -12 + 18 = 6 6 + -7 + 9x + -2x = 5x + -3 Combine like terms: 6 + -7 = -1 -1 + 9x + -2x = 5x + -3 Combine like terms: 9x + -2x = 7x -1 + 7x = 5x + -3 Reorder the terms: -1 + 7x = -3 + 5x Solving -1 + 7x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 7x + -5x = -3 + 5x + -5x Combine like terms: 7x + -5x = 2x -1 + 2x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 2x = -3 + 0 -1 + 2x = -3 Add '1' to each side of the equation. -1 + 1 + 2x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -3 + 1 2x = -3 + 1 Combine like terms: -3 + 1 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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