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Simplifying 2(9x + -1) = 7(3 + -4x) Reorder the terms: 2(-1 + 9x) = 7(3 + -4x) (-1 * 2 + 9x * 2) = 7(3 + -4x) (-2 + 18x) = 7(3 + -4x) -2 + 18x = (3 * 7 + -4x * 7) -2 + 18x = (21 + -28x) Solving -2 + 18x = 21 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -2 + 18x + 28x = 21 + -28x + 28x Combine like terms: 18x + 28x = 46x -2 + 46x = 21 + -28x + 28x Combine like terms: -28x + 28x = 0 -2 + 46x = 21 + 0 -2 + 46x = 21 Add '2' to each side of the equation. -2 + 2 + 46x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 46x = 21 + 2 46x = 21 + 2 Combine like terms: 21 + 2 = 23 46x = 23 Divide each side by '46'. x = 0.5 Simplifying x = 0.5
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