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Simplifying 5 + -1(4x + 9) = 8 + 2x Reorder the terms: 5 + -1(9 + 4x) = 8 + 2x 5 + (9 * -1 + 4x * -1) = 8 + 2x 5 + (-9 + -4x) = 8 + 2x Combine like terms: 5 + -9 = -4 -4 + -4x = 8 + 2x Solving -4 + -4x = 8 + 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. -4 + -4x + -2x = 8 + 2x + -2x Combine like terms: -4x + -2x = -6x -4 + -6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -6x = 8 + 0 -4 + -6x = 8 Add '4' to each side of the equation. -4 + 4 + -6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 8 + 4 -6x = 8 + 4 Combine like terms: 8 + 4 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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