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Simplifying 115 + -1(2x + -1) = 8 + -1(2 + -3x) Reorder the terms: 115 + -1(-1 + 2x) = 8 + -1(2 + -3x) 115 + (-1 * -1 + 2x * -1) = 8 + -1(2 + -3x) 115 + (1 + -2x) = 8 + -1(2 + -3x) Combine like terms: 115 + 1 = 116 116 + -2x = 8 + -1(2 + -3x) 116 + -2x = 8 + (2 * -1 + -3x * -1) 116 + -2x = 8 + (-2 + 3x) Combine like terms: 8 + -2 = 6 116 + -2x = 6 + 3x Solving 116 + -2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 116 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x 116 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 116 + -5x = 6 + 0 116 + -5x = 6 Add '-116' to each side of the equation. 116 + -116 + -5x = 6 + -116 Combine like terms: 116 + -116 = 0 0 + -5x = 6 + -116 -5x = 6 + -116 Combine like terms: 6 + -116 = -110 -5x = -110 Divide each side by '-5'. x = 22 Simplifying x = 22
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