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Simplifying 4(x + -2) + -6 = 8 + 2x Reorder the terms: 4(-2 + x) + -6 = 8 + 2x (-2 * 4 + x * 4) + -6 = 8 + 2x (-8 + 4x) + -6 = 8 + 2x Reorder the terms: -8 + -6 + 4x = 8 + 2x Combine like terms: -8 + -6 = -14 -14 + 4x = 8 + 2x Solving -14 + 4x = 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. -14 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -14 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 2x = 8 + 0 -14 + 2x = 8 Add '14' to each side of the equation. -14 + 14 + 2x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 8 + 14 2x = 8 + 14 Combine like terms: 8 + 14 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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