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Simplifying 3x + -2(4x + 5) = 2(x + -4) Reorder the terms: 3x + -2(5 + 4x) = 2(x + -4) 3x + (5 * -2 + 4x * -2) = 2(x + -4) 3x + (-10 + -8x) = 2(x + -4) Reorder the terms: -10 + 3x + -8x = 2(x + -4) Combine like terms: 3x + -8x = -5x -10 + -5x = 2(x + -4) Reorder the terms: -10 + -5x = 2(-4 + x) -10 + -5x = (-4 * 2 + x * 2) -10 + -5x = (-8 + 2x) Solving -10 + -5x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -5x + -2x = -8 + 2x + -2x Combine like terms: -5x + -2x = -7x -10 + -7x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -7x = -8 + 0 -10 + -7x = -8 Add '10' to each side of the equation. -10 + 10 + -7x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -8 + 10 -7x = -8 + 10 Combine like terms: -8 + 10 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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