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Simplifying 4x + -2(3x + 4) = 9 + 2x Reorder the terms: 4x + -2(4 + 3x) = 9 + 2x 4x + (4 * -2 + 3x * -2) = 9 + 2x 4x + (-8 + -6x) = 9 + 2x Reorder the terms: -8 + 4x + -6x = 9 + 2x Combine like terms: 4x + -6x = -2x -8 + -2x = 9 + 2x Solving -8 + -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. -8 + -2x + -2x = 9 + 2x + -2x Combine like terms: -2x + -2x = -4x -8 + -4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -4x = 9 + 0 -8 + -4x = 9 Add '8' to each side of the equation. -8 + 8 + -4x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 9 + 8 -4x = 9 + 8 Combine like terms: 9 + 8 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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