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Simplifying -3(x + 1) = x + -5 + 6(2x + 1) Reorder the terms: -3(1 + x) = x + -5 + 6(2x + 1) (1 * -3 + x * -3) = x + -5 + 6(2x + 1) (-3 + -3x) = x + -5 + 6(2x + 1) Reorder the terms: -3 + -3x = x + -5 + 6(1 + 2x) -3 + -3x = x + -5 + (1 * 6 + 2x * 6) -3 + -3x = x + -5 + (6 + 12x) Reorder the terms: -3 + -3x = -5 + 6 + x + 12x Combine like terms: -5 + 6 = 1 -3 + -3x = 1 + x + 12x Combine like terms: x + 12x = 13x -3 + -3x = 1 + 13x Solving -3 + -3x = 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. -3 + -3x + -13x = 1 + 13x + -13x Combine like terms: -3x + -13x = -16x -3 + -16x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + -16x = 1 + 0 -3 + -16x = 1 Add '3' to each side of the equation. -3 + 3 + -16x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -16x = 1 + 3 -16x = 1 + 3 Combine like terms: 1 + 3 = 4 -16x = 4 Divide each side by '-16'. x = -0.25 Simplifying x = -0.25
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