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