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Simplifying 2x + -1(5x + 16) = 3 + -2(3x + -4) Reorder the terms: 2x + -1(16 + 5x) = 3 + -2(3x + -4) 2x + (16 * -1 + 5x * -1) = 3 + -2(3x + -4) 2x + (-16 + -5x) = 3 + -2(3x + -4) Reorder the terms: -16 + 2x + -5x = 3 + -2(3x + -4) Combine like terms: 2x + -5x = -3x -16 + -3x = 3 + -2(3x + -4) Reorder the terms: -16 + -3x = 3 + -2(-4 + 3x) -16 + -3x = 3 + (-4 * -2 + 3x * -2) -16 + -3x = 3 + (8 + -6x) Combine like terms: 3 + 8 = 11 -16 + -3x = 11 + -6x Solving -16 + -3x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -16 + -3x + 6x = 11 + -6x + 6x Combine like terms: -3x + 6x = 3x -16 + 3x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 3x = 11 + 0 -16 + 3x = 11 Add '16' to each side of the equation. -16 + 16 + 3x = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 11 + 16 3x = 11 + 16 Combine like terms: 11 + 16 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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