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Simplifying -5(x + 1) = 5x + -2 + 3(2x + 5) Reorder the terms: -5(1 + x) = 5x + -2 + 3(2x + 5) (1 * -5 + x * -5) = 5x + -2 + 3(2x + 5) (-5 + -5x) = 5x + -2 + 3(2x + 5) Reorder the terms: -5 + -5x = 5x + -2 + 3(5 + 2x) -5 + -5x = 5x + -2 + (5 * 3 + 2x * 3) -5 + -5x = 5x + -2 + (15 + 6x) Reorder the terms: -5 + -5x = -2 + 15 + 5x + 6x Combine like terms: -2 + 15 = 13 -5 + -5x = 13 + 5x + 6x Combine like terms: 5x + 6x = 11x -5 + -5x = 13 + 11x Solving -5 + -5x = 13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -5 + -5x + -11x = 13 + 11x + -11x Combine like terms: -5x + -11x = -16x -5 + -16x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 -5 + -16x = 13 + 0 -5 + -16x = 13 Add '5' to each side of the equation. -5 + 5 + -16x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = 13 + 5 -16x = 13 + 5 Combine like terms: 13 + 5 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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