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Simplifying 5x + -1(4x + 6) + 2(5x + 3) + 3x + -2 = x Reorder the terms: 5x + -1(6 + 4x) + 2(5x + 3) + 3x + -2 = x 5x + (6 * -1 + 4x * -1) + 2(5x + 3) + 3x + -2 = x 5x + (-6 + -4x) + 2(5x + 3) + 3x + -2 = x Reorder the terms: 5x + -6 + -4x + 2(3 + 5x) + 3x + -2 = x 5x + -6 + -4x + (3 * 2 + 5x * 2) + 3x + -2 = x 5x + -6 + -4x + (6 + 10x) + 3x + -2 = x Reorder the terms: -6 + 6 + -2 + 5x + -4x + 10x + 3x = x Combine like terms: -6 + 6 = 0 0 + -2 + 5x + -4x + 10x + 3x = x -2 + 5x + -4x + 10x + 3x = x Combine like terms: 5x + -4x = 1x -2 + 1x + 10x + 3x = x Combine like terms: 1x + 10x = 11x -2 + 11x + 3x = x Combine like terms: 11x + 3x = 14x -2 + 14x = x Solving -2 + 14x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 14x + -1x = x + -1x Combine like terms: 14x + -1x = 13x -2 + 13x = x + -1x Combine like terms: x + -1x = 0 -2 + 13x = 0 Add '2' to each side of the equation. -2 + 2 + 13x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 0 + 2 13x = 0 + 2 Combine like terms: 0 + 2 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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