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Simplifying 5x + 3(x + 2) + 4x + -7x = -3x + 4 + -1(3 + 2x) Reorder the terms: 5x + 3(2 + x) + 4x + -7x = -3x + 4 + -1(3 + 2x) 5x + (2 * 3 + x * 3) + 4x + -7x = -3x + 4 + -1(3 + 2x) 5x + (6 + 3x) + 4x + -7x = -3x + 4 + -1(3 + 2x) Reorder the terms: 6 + 5x + 3x + 4x + -7x = -3x + 4 + -1(3 + 2x) Combine like terms: 5x + 3x = 8x 6 + 8x + 4x + -7x = -3x + 4 + -1(3 + 2x) Combine like terms: 8x + 4x = 12x 6 + 12x + -7x = -3x + 4 + -1(3 + 2x) Combine like terms: 12x + -7x = 5x 6 + 5x = -3x + 4 + -1(3 + 2x) 6 + 5x = -3x + 4 + (3 * -1 + 2x * -1) 6 + 5x = -3x + 4 + (-3 + -2x) Reorder the terms: 6 + 5x = 4 + -3 + -3x + -2x Combine like terms: 4 + -3 = 1 6 + 5x = 1 + -3x + -2x Combine like terms: -3x + -2x = -5x 6 + 5x = 1 + -5x Solving 6 + 5x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 5x + 5x = 1 + -5x + 5x Combine like terms: 5x + 5x = 10x 6 + 10x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 10x = 1 + 0 6 + 10x = 1 Add '-6' to each side of the equation. 6 + -6 + 10x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 1 + -6 10x = 1 + -6 Combine like terms: 1 + -6 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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