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