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Simplifying 4 + -2(2x + 3) = 2x + 4(x + -8) Reorder the terms: 4 + -2(3 + 2x) = 2x + 4(x + -8) 4 + (3 * -2 + 2x * -2) = 2x + 4(x + -8) 4 + (-6 + -4x) = 2x + 4(x + -8) Combine like terms: 4 + -6 = -2 -2 + -4x = 2x + 4(x + -8) Reorder the terms: -2 + -4x = 2x + 4(-8 + x) -2 + -4x = 2x + (-8 * 4 + x * 4) -2 + -4x = 2x + (-32 + 4x) Reorder the terms: -2 + -4x = -32 + 2x + 4x Combine like terms: 2x + 4x = 6x -2 + -4x = -32 + 6x Solving -2 + -4x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -4x + -6x = -32 + 6x + -6x Combine like terms: -4x + -6x = -10x -2 + -10x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -10x = -32 + 0 -2 + -10x = -32 Add '2' to each side of the equation. -2 + 2 + -10x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -32 + 2 -10x = -32 + 2 Combine like terms: -32 + 2 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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