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