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Simplifying 5x + 3(x + 2) + 4x + -7x = -3x + 4 + -1(3x + 2x) Reorder the terms: 5x + 3(2 + x) + 4x + -7x = -3x + 4 + -1(3x + 2x) 5x + (2 * 3 + x * 3) + 4x + -7x = -3x + 4 + -1(3x + 2x) 5x + (6 + 3x) + 4x + -7x = -3x + 4 + -1(3x + 2x) Reorder the terms: 6 + 5x + 3x + 4x + -7x = -3x + 4 + -1(3x + 2x) Combine like terms: 5x + 3x = 8x 6 + 8x + 4x + -7x = -3x + 4 + -1(3x + 2x) Combine like terms: 8x + 4x = 12x 6 + 12x + -7x = -3x + 4 + -1(3x + 2x) Combine like terms: 12x + -7x = 5x 6 + 5x = -3x + 4 + -1(3x + 2x) Combine like terms: 3x + 2x = 5x 6 + 5x = -3x + 4 + -1(5x) Remove parenthesis around (5x) 6 + 5x = -3x + 4 + -1 * 5x Multiply -1 * 5 6 + 5x = -3x + 4 + -5x Reorder the terms: 6 + 5x = 4 + -3x + -5x Combine like terms: -3x + -5x = -8x 6 + 5x = 4 + -8x Solving 6 + 5x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 5x + 8x = 4 + -8x + 8x Combine like terms: 5x + 8x = 13x 6 + 13x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 13x = 4 + 0 6 + 13x = 4 Add '-6' to each side of the equation. 6 + -6 + 13x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 4 + -6 13x = 4 + -6 Combine like terms: 4 + -6 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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