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Simplifying 4 + -6(x + 2) = 2(x + -5) + 2 Reorder the terms: 4 + -6(2 + x) = 2(x + -5) + 2 4 + (2 * -6 + x * -6) = 2(x + -5) + 2 4 + (-12 + -6x) = 2(x + -5) + 2 Combine like terms: 4 + -12 = -8 -8 + -6x = 2(x + -5) + 2 Reorder the terms: -8 + -6x = 2(-5 + x) + 2 -8 + -6x = (-5 * 2 + x * 2) + 2 -8 + -6x = (-10 + 2x) + 2 Reorder the terms: -8 + -6x = -10 + 2 + 2x Combine like terms: -10 + 2 = -8 -8 + -6x = -8 + 2x Add '8' to each side of the equation. -8 + 8 + -6x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + -6x = -8 + 8 + 2x -6x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 -6x = 0 + 2x -6x = 2x Solving -6x = 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. -6x + -2x = 2x + -2x Combine like terms: -6x + -2x = -8x -8x = 2x + -2x Combine like terms: 2x + -2x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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