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Simplifying -2(2x + 1) + -1 = 5(x + 1) + 4x Reorder the terms: -2(1 + 2x) + -1 = 5(x + 1) + 4x (1 * -2 + 2x * -2) + -1 = 5(x + 1) + 4x (-2 + -4x) + -1 = 5(x + 1) + 4x Reorder the terms: -2 + -1 + -4x = 5(x + 1) + 4x Combine like terms: -2 + -1 = -3 -3 + -4x = 5(x + 1) + 4x Reorder the terms: -3 + -4x = 5(1 + x) + 4x -3 + -4x = (1 * 5 + x * 5) + 4x -3 + -4x = (5 + 5x) + 4x Combine like terms: 5x + 4x = 9x -3 + -4x = 5 + 9x Solving -3 + -4x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + -4x + -9x = 5 + 9x + -9x Combine like terms: -4x + -9x = -13x -3 + -13x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -13x = 5 + 0 -3 + -13x = 5 Add '3' to each side of the equation. -3 + 3 + -13x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 5 + 3 -13x = 5 + 3 Combine like terms: 5 + 3 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154
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