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Simplifying 4(x + -6) = 2(x + 1) Reorder the terms: 4(-6 + x) = 2(x + 1) (-6 * 4 + x * 4) = 2(x + 1) (-24 + 4x) = 2(x + 1) Reorder the terms: -24 + 4x = 2(1 + x) -24 + 4x = (1 * 2 + x * 2) -24 + 4x = (2 + 2x) Solving -24 + 4x = 2 + 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. -24 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x -24 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 2x = 2 + 0 -24 + 2x = 2 Add '24' to each side of the equation. -24 + 24 + 2x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 2 + 24 2x = 2 + 24 Combine like terms: 2 + 24 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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