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Simplifying 9x + -3(x + 2) = 5x + 9 + -3x Reorder the terms: 9x + -3(2 + x) = 5x + 9 + -3x 9x + (2 * -3 + x * -3) = 5x + 9 + -3x 9x + (-6 + -3x) = 5x + 9 + -3x Reorder the terms: -6 + 9x + -3x = 5x + 9 + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = 5x + 9 + -3x Reorder the terms: -6 + 6x = 9 + 5x + -3x Combine like terms: 5x + -3x = 2x -6 + 6x = 9 + 2x Solving -6 + 6x = 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 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -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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