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Simplifying 3x + 2(x + 1) = 9x + 4 Reorder the terms: 3x + 2(1 + x) = 9x + 4 3x + (1 * 2 + x * 2) = 9x + 4 3x + (2 + 2x) = 9x + 4 Reorder the terms: 2 + 3x + 2x = 9x + 4 Combine like terms: 3x + 2x = 5x 2 + 5x = 9x + 4 Reorder the terms: 2 + 5x = 4 + 9x Solving 2 + 5x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 5x + -9x = 4 + 9x + -9x Combine like terms: 5x + -9x = -4x 2 + -4x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -4x = 4 + 0 2 + -4x = 4 Add '-2' to each side of the equation. 2 + -2 + -4x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 4 + -2 -4x = 4 + -2 Combine like terms: 4 + -2 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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