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Simplifying 2 + -1(2x + -4) = 2x + -9 Reorder the terms: 2 + -1(-4 + 2x) = 2x + -9 2 + (-4 * -1 + 2x * -1) = 2x + -9 2 + (4 + -2x) = 2x + -9 Combine like terms: 2 + 4 = 6 6 + -2x = 2x + -9 Reorder the terms: 6 + -2x = -9 + 2x Solving 6 + -2x = -9 + 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. 6 + -2x + -2x = -9 + 2x + -2x Combine like terms: -2x + -2x = -4x 6 + -4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -4x = -9 + 0 6 + -4x = -9 Add '-6' to each side of the equation. 6 + -6 + -4x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -9 + -6 -4x = -9 + -6 Combine like terms: -9 + -6 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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