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Simplifying 3 + -2(x + 4) = 6(x + -6) Reorder the terms: 3 + -2(4 + x) = 6(x + -6) 3 + (4 * -2 + x * -2) = 6(x + -6) 3 + (-8 + -2x) = 6(x + -6) Combine like terms: 3 + -8 = -5 -5 + -2x = 6(x + -6) Reorder the terms: -5 + -2x = 6(-6 + x) -5 + -2x = (-6 * 6 + x * 6) -5 + -2x = (-36 + 6x) Solving -5 + -2x = -36 + 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. -5 + -2x + -6x = -36 + 6x + -6x Combine like terms: -2x + -6x = -8x -5 + -8x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -8x = -36 + 0 -5 + -8x = -36 Add '5' to each side of the equation. -5 + 5 + -8x = -36 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -36 + 5 -8x = -36 + 5 Combine like terms: -36 + 5 = -31 -8x = -31 Divide each side by '-8'. x = 3.875 Simplifying x = 3.875
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