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Simplifying 4x + 3(x + -2) = -1(5x + 20) + -1x Reorder the terms: 4x + 3(-2 + x) = -1(5x + 20) + -1x 4x + (-2 * 3 + x * 3) = -1(5x + 20) + -1x 4x + (-6 + 3x) = -1(5x + 20) + -1x Reorder the terms: -6 + 4x + 3x = -1(5x + 20) + -1x Combine like terms: 4x + 3x = 7x -6 + 7x = -1(5x + 20) + -1x Reorder the terms: -6 + 7x = -1(20 + 5x) + -1x -6 + 7x = (20 * -1 + 5x * -1) + -1x -6 + 7x = (-20 + -5x) + -1x Combine like terms: -5x + -1x = -6x -6 + 7x = -20 + -6x Solving -6 + 7x = -20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 7x + 6x = -20 + -6x + 6x Combine like terms: 7x + 6x = 13x -6 + 13x = -20 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 13x = -20 + 0 -6 + 13x = -20 Add '6' to each side of the equation. -6 + 6 + 13x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = -20 + 6 13x = -20 + 6 Combine like terms: -20 + 6 = -14 13x = -14 Divide each side by '13'. x = -1.076923077 Simplifying x = -1.076923077
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