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Simplifying 2(9x + -1) = 99 + -7(3 + 4x) Reorder the terms: 2(-1 + 9x) = 99 + -7(3 + 4x) (-1 * 2 + 9x * 2) = 99 + -7(3 + 4x) (-2 + 18x) = 99 + -7(3 + 4x) -2 + 18x = 99 + (3 * -7 + 4x * -7) -2 + 18x = 99 + (-21 + -28x) Combine like terms: 99 + -21 = 78 -2 + 18x = 78 + -28x Solving -2 + 18x = 78 + -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 = 78 + -28x + 28x Combine like terms: 18x + 28x = 46x -2 + 46x = 78 + -28x + 28x Combine like terms: -28x + 28x = 0 -2 + 46x = 78 + 0 -2 + 46x = 78 Add '2' to each side of the equation. -2 + 2 + 46x = 78 + 2 Combine like terms: -2 + 2 = 0 0 + 46x = 78 + 2 46x = 78 + 2 Combine like terms: 78 + 2 = 80 46x = 80 Divide each side by '46'. x = 1.739130435 Simplifying x = 1.739130435
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