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Simplifying 2(5x + 3) = 4(x + -8) Reorder the terms: 2(3 + 5x) = 4(x + -8) (3 * 2 + 5x * 2) = 4(x + -8) (6 + 10x) = 4(x + -8) Reorder the terms: 6 + 10x = 4(-8 + x) 6 + 10x = (-8 * 4 + x * 4) 6 + 10x = (-32 + 4x) Solving 6 + 10x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 10x + -4x = -32 + 4x + -4x Combine like terms: 10x + -4x = 6x 6 + 6x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 6x = -32 + 0 6 + 6x = -32 Add '-6' to each side of the equation. 6 + -6 + 6x = -32 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -32 + -6 6x = -32 + -6 Combine like terms: -32 + -6 = -38 6x = -38 Divide each side by '6'. x = -6.333333333 Simplifying x = -6.333333333
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