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Simplifying 2(4x + -1) = 2(9x + 4) Reorder the terms: 2(-1 + 4x) = 2(9x + 4) (-1 * 2 + 4x * 2) = 2(9x + 4) (-2 + 8x) = 2(9x + 4) Reorder the terms: -2 + 8x = 2(4 + 9x) -2 + 8x = (4 * 2 + 9x * 2) -2 + 8x = (8 + 18x) Solving -2 + 8x = 8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -2 + 8x + -18x = 8 + 18x + -18x Combine like terms: 8x + -18x = -10x -2 + -10x = 8 + 18x + -18x Combine like terms: 18x + -18x = 0 -2 + -10x = 8 + 0 -2 + -10x = 8 Add '2' to each side of the equation. -2 + 2 + -10x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 8 + 2 -10x = 8 + 2 Combine like terms: 8 + 2 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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