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Simplifying -5(x + 1) = 7x + -1 + 2(3x + 1) Reorder the terms: -5(1 + x) = 7x + -1 + 2(3x + 1) (1 * -5 + x * -5) = 7x + -1 + 2(3x + 1) (-5 + -5x) = 7x + -1 + 2(3x + 1) Reorder the terms: -5 + -5x = 7x + -1 + 2(1 + 3x) -5 + -5x = 7x + -1 + (1 * 2 + 3x * 2) -5 + -5x = 7x + -1 + (2 + 6x) Reorder the terms: -5 + -5x = -1 + 2 + 7x + 6x Combine like terms: -1 + 2 = 1 -5 + -5x = 1 + 7x + 6x Combine like terms: 7x + 6x = 13x -5 + -5x = 1 + 13x Solving -5 + -5x = 1 + 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 = 1 + 13x + -13x Combine like terms: -5x + -13x = -18x -5 + -18x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + -18x = 1 + 0 -5 + -18x = 1 Add '5' to each side of the equation. -5 + 5 + -18x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 1 + 5 -18x = 1 + 5 Combine like terms: 1 + 5 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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