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Simplifying 4(x + -8) = 2(x + 3) Reorder the terms: 4(-8 + x) = 2(x + 3) (-8 * 4 + x * 4) = 2(x + 3) (-32 + 4x) = 2(x + 3) Reorder the terms: -32 + 4x = 2(3 + x) -32 + 4x = (3 * 2 + x * 2) -32 + 4x = (6 + 2x) Solving -32 + 4x = 6 + 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. -32 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -32 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 2x = 6 + 0 -32 + 2x = 6 Add '32' to each side of the equation. -32 + 32 + 2x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 6 + 32 2x = 6 + 32 Combine like terms: 6 + 32 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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