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Simplifying 3 + -2(x + 4) = x + 5(2x + -2) Reorder the terms: 3 + -2(4 + x) = x + 5(2x + -2) 3 + (4 * -2 + x * -2) = x + 5(2x + -2) 3 + (-8 + -2x) = x + 5(2x + -2) Combine like terms: 3 + -8 = -5 -5 + -2x = x + 5(2x + -2) Reorder the terms: -5 + -2x = x + 5(-2 + 2x) -5 + -2x = x + (-2 * 5 + 2x * 5) -5 + -2x = x + (-10 + 10x) Reorder the terms: -5 + -2x = -10 + x + 10x Combine like terms: x + 10x = 11x -5 + -2x = -10 + 11x Solving -5 + -2x = -10 + 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 + -2x + -11x = -10 + 11x + -11x Combine like terms: -2x + -11x = -13x -5 + -13x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 -5 + -13x = -10 + 0 -5 + -13x = -10 Add '5' to each side of the equation. -5 + 5 + -13x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = -10 + 5 -13x = -10 + 5 Combine like terms: -10 + 5 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846
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