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Simplifying 5x + -1(4x + 3) + 3(2x + 1) = 2x + -5(3x + 4) Reorder the terms: 5x + -1(3 + 4x) + 3(2x + 1) = 2x + -5(3x + 4) 5x + (3 * -1 + 4x * -1) + 3(2x + 1) = 2x + -5(3x + 4) 5x + (-3 + -4x) + 3(2x + 1) = 2x + -5(3x + 4) Reorder the terms: 5x + -3 + -4x + 3(1 + 2x) = 2x + -5(3x + 4) 5x + -3 + -4x + (1 * 3 + 2x * 3) = 2x + -5(3x + 4) 5x + -3 + -4x + (3 + 6x) = 2x + -5(3x + 4) Reorder the terms: -3 + 3 + 5x + -4x + 6x = 2x + -5(3x + 4) Combine like terms: -3 + 3 = 0 0 + 5x + -4x + 6x = 2x + -5(3x + 4) 5x + -4x + 6x = 2x + -5(3x + 4) Combine like terms: 5x + -4x = 1x 1x + 6x = 2x + -5(3x + 4) Combine like terms: 1x + 6x = 7x 7x = 2x + -5(3x + 4) Reorder the terms: 7x = 2x + -5(4 + 3x) 7x = 2x + (4 * -5 + 3x * -5) 7x = 2x + (-20 + -15x) Reorder the terms: 7x = -20 + 2x + -15x Combine like terms: 2x + -15x = -13x 7x = -20 + -13x Solving 7x = -20 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 7x + 13x = -20 + -13x + 13x Combine like terms: 7x + 13x = 20x 20x = -20 + -13x + 13x Combine like terms: -13x + 13x = 0 20x = -20 + 0 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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