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Simplifying 4(4x + 1) + -9x = (2 + -1x) Reorder the terms: 4(1 + 4x) + -9x = (2 + -1x) (1 * 4 + 4x * 4) + -9x = (2 + -1x) (4 + 16x) + -9x = (2 + -1x) Combine like terms: 16x + -9x = 7x 4 + 7x = (2 + -1x) Remove parenthesis around (2 + -1x) 4 + 7x = 2 + -1x Solving 4 + 7x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 7x + x = 2 + -1x + x Combine like terms: 7x + x = 8x 4 + 8x = 2 + -1x + x Combine like terms: -1x + x = 0 4 + 8x = 2 + 0 4 + 8x = 2 Add '-4' to each side of the equation. 4 + -4 + 8x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 2 + -4 8x = 2 + -4 Combine like terms: 2 + -4 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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