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Simplifying 4(2x + 1) = 2x + -9x Reorder the terms: 4(1 + 2x) = 2x + -9x (1 * 4 + 2x * 4) = 2x + -9x (4 + 8x) = 2x + -9x Combine like terms: 2x + -9x = -7x 4 + 8x = -7x Solving 4 + 8x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 8x + 7x = -7x + 7x Combine like terms: 8x + 7x = 15x 4 + 15x = -7x + 7x Combine like terms: -7x + 7x = 0 4 + 15x = 0 Add '-4' to each side of the equation. 4 + -4 + 15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 0 + -4 15x = 0 + -4 Combine like terms: 0 + -4 = -4 15x = -4 Divide each side by '15'. x = -0.2666666667 Simplifying x = -0.2666666667
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