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Simplifying 3x + -2(x + 4) = 6x + -9 Reorder the terms: 3x + -2(4 + x) = 6x + -9 3x + (4 * -2 + x * -2) = 6x + -9 3x + (-8 + -2x) = 6x + -9 Reorder the terms: -8 + 3x + -2x = 6x + -9 Combine like terms: 3x + -2x = 1x -8 + 1x = 6x + -9 Reorder the terms: -8 + 1x = -9 + 6x Solving -8 + 1x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 1x + -6x = -9 + 6x + -6x Combine like terms: 1x + -6x = -5x -8 + -5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -5x = -9 + 0 -8 + -5x = -9 Add '8' to each side of the equation. -8 + 8 + -5x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -9 + 8 -5x = -9 + 8 Combine like terms: -9 + 8 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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