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Simplifying 6 + -2(x + 4) = 6(x + -5) Reorder the terms: 6 + -2(4 + x) = 6(x + -5) 6 + (4 * -2 + x * -2) = 6(x + -5) 6 + (-8 + -2x) = 6(x + -5) Combine like terms: 6 + -8 = -2 -2 + -2x = 6(x + -5) Reorder the terms: -2 + -2x = 6(-5 + x) -2 + -2x = (-5 * 6 + x * 6) -2 + -2x = (-30 + 6x) Solving -2 + -2x = -30 + 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. -2 + -2x + -6x = -30 + 6x + -6x Combine like terms: -2x + -6x = -8x -2 + -8x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -8x = -30 + 0 -2 + -8x = -30 Add '2' to each side of the equation. -2 + 2 + -8x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -30 + 2 -8x = -30 + 2 Combine like terms: -30 + 2 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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