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Simplifying 4(2x + -1) + 1 = 2x + 9 Reorder the terms: 4(-1 + 2x) + 1 = 2x + 9 (-1 * 4 + 2x * 4) + 1 = 2x + 9 (-4 + 8x) + 1 = 2x + 9 Reorder the terms: -4 + 1 + 8x = 2x + 9 Combine like terms: -4 + 1 = -3 -3 + 8x = 2x + 9 Reorder the terms: -3 + 8x = 9 + 2x Solving -3 + 8x = 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. -3 + 8x + -2x = 9 + 2x + -2x Combine like terms: 8x + -2x = 6x -3 + 6x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 6x = 9 + 0 -3 + 6x = 9 Add '3' to each side of the equation. -3 + 3 + 6x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 9 + 3 6x = 9 + 3 Combine like terms: 9 + 3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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