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Simplifying (2x + -1) + 3(x + -5) = -2(2x + 1) Reorder the terms: (-1 + 2x) + 3(x + -5) = -2(2x + 1) Remove parenthesis around (-1 + 2x) -1 + 2x + 3(x + -5) = -2(2x + 1) Reorder the terms: -1 + 2x + 3(-5 + x) = -2(2x + 1) -1 + 2x + (-5 * 3 + x * 3) = -2(2x + 1) -1 + 2x + (-15 + 3x) = -2(2x + 1) Reorder the terms: -1 + -15 + 2x + 3x = -2(2x + 1) Combine like terms: -1 + -15 = -16 -16 + 2x + 3x = -2(2x + 1) Combine like terms: 2x + 3x = 5x -16 + 5x = -2(2x + 1) Reorder the terms: -16 + 5x = -2(1 + 2x) -16 + 5x = (1 * -2 + 2x * -2) -16 + 5x = (-2 + -4x) Solving -16 + 5x = -2 + -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. -16 + 5x + 4x = -2 + -4x + 4x Combine like terms: 5x + 4x = 9x -16 + 9x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 9x = -2 + 0 -16 + 9x = -2 Add '16' to each side of the equation. -16 + 16 + 9x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = -2 + 16 9x = -2 + 16 Combine like terms: -2 + 16 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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