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Simplifying -2(x + 1) = 3x + -2 + 5(2x + 2) Reorder the terms: -2(1 + x) = 3x + -2 + 5(2x + 2) (1 * -2 + x * -2) = 3x + -2 + 5(2x + 2) (-2 + -2x) = 3x + -2 + 5(2x + 2) Reorder the terms: -2 + -2x = 3x + -2 + 5(2 + 2x) -2 + -2x = 3x + -2 + (2 * 5 + 2x * 5) -2 + -2x = 3x + -2 + (10 + 10x) Reorder the terms: -2 + -2x = -2 + 10 + 3x + 10x Combine like terms: -2 + 10 = 8 -2 + -2x = 8 + 3x + 10x Combine like terms: 3x + 10x = 13x -2 + -2x = 8 + 13x Solving -2 + -2x = 8 + 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. -2 + -2x + -13x = 8 + 13x + -13x Combine like terms: -2x + -13x = -15x -2 + -15x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -15x = 8 + 0 -2 + -15x = 8 Add '2' to each side of the equation. -2 + 2 + -15x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 8 + 2 -15x = 8 + 2 Combine like terms: 8 + 2 = 10 -15x = 10 Divide each side by '-15'. x = -0.6666666667 Simplifying x = -0.6666666667
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