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Simplifying -5(x + 1) = 3x + -1 + 2(5x + 3) Reorder the terms: -5(1 + x) = 3x + -1 + 2(5x + 3) (1 * -5 + x * -5) = 3x + -1 + 2(5x + 3) (-5 + -5x) = 3x + -1 + 2(5x + 3) Reorder the terms: -5 + -5x = 3x + -1 + 2(3 + 5x) -5 + -5x = 3x + -1 + (3 * 2 + 5x * 2) -5 + -5x = 3x + -1 + (6 + 10x) Reorder the terms: -5 + -5x = -1 + 6 + 3x + 10x Combine like terms: -1 + 6 = 5 -5 + -5x = 5 + 3x + 10x Combine like terms: 3x + 10x = 13x -5 + -5x = 5 + 13x Solving -5 + -5x = 5 + 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. -5 + -5x + -13x = 5 + 13x + -13x Combine like terms: -5x + -13x = -18x -5 + -18x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + -18x = 5 + 0 -5 + -18x = 5 Add '5' to each side of the equation. -5 + 5 + -18x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 5 + 5 -18x = 5 + 5 Combine like terms: 5 + 5 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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