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Simplifying 5 + 2x + -1(8 + -1x) = 7 + 4 + -1(2x + -3) 5 + 2x + (8 * -1 + -1x * -1) = 7 + 4 + -1(2x + -3) 5 + 2x + (-8 + 1x) = 7 + 4 + -1(2x + -3) Reorder the terms: 5 + -8 + 2x + 1x = 7 + 4 + -1(2x + -3) Combine like terms: 5 + -8 = -3 -3 + 2x + 1x = 7 + 4 + -1(2x + -3) Combine like terms: 2x + 1x = 3x -3 + 3x = 7 + 4 + -1(2x + -3) Reorder the terms: -3 + 3x = 7 + 4 + -1(-3 + 2x) -3 + 3x = 7 + 4 + (-3 * -1 + 2x * -1) -3 + 3x = 7 + 4 + (3 + -2x) Combine like terms: 7 + 4 = 11 -3 + 3x = 11 + 3 + -2x Combine like terms: 11 + 3 = 14 -3 + 3x = 14 + -2x Solving -3 + 3x = 14 + -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. -3 + 3x + 2x = 14 + -2x + 2x Combine like terms: 3x + 2x = 5x -3 + 5x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 5x = 14 + 0 -3 + 5x = 14 Add '3' to each side of the equation. -3 + 3 + 5x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 14 + 3 5x = 14 + 3 Combine like terms: 14 + 3 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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