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Simplifying 16x + -3(7 + -2x) = 6 + -2(1 + -2x) 16x + (7 * -3 + -2x * -3) = 6 + -2(1 + -2x) 16x + (-21 + 6x) = 6 + -2(1 + -2x) Reorder the terms: -21 + 16x + 6x = 6 + -2(1 + -2x) Combine like terms: 16x + 6x = 22x -21 + 22x = 6 + -2(1 + -2x) -21 + 22x = 6 + (1 * -2 + -2x * -2) -21 + 22x = 6 + (-2 + 4x) Combine like terms: 6 + -2 = 4 -21 + 22x = 4 + 4x Solving -21 + 22x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 22x + -4x = 4 + 4x + -4x Combine like terms: 22x + -4x = 18x -21 + 18x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 18x = 4 + 0 -21 + 18x = 4 Add '21' to each side of the equation. -21 + 21 + 18x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 18x = 4 + 21 18x = 4 + 21 Combine like terms: 4 + 21 = 25 18x = 25 Divide each side by '18'. x = 1.388888889 Simplifying x = 1.388888889
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