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Simplifying 3 + -6(2x + 5) = 2(x + -4) + -5 Reorder the terms: 3 + -6(5 + 2x) = 2(x + -4) + -5 3 + (5 * -6 + 2x * -6) = 2(x + -4) + -5 3 + (-30 + -12x) = 2(x + -4) + -5 Combine like terms: 3 + -30 = -27 -27 + -12x = 2(x + -4) + -5 Reorder the terms: -27 + -12x = 2(-4 + x) + -5 -27 + -12x = (-4 * 2 + x * 2) + -5 -27 + -12x = (-8 + 2x) + -5 Reorder the terms: -27 + -12x = -8 + -5 + 2x Combine like terms: -8 + -5 = -13 -27 + -12x = -13 + 2x Solving -27 + -12x = -13 + 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. -27 + -12x + -2x = -13 + 2x + -2x Combine like terms: -12x + -2x = -14x -27 + -14x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + -14x = -13 + 0 -27 + -14x = -13 Add '27' to each side of the equation. -27 + 27 + -14x = -13 + 27 Combine like terms: -27 + 27 = 0 0 + -14x = -13 + 27 -14x = -13 + 27 Combine like terms: -13 + 27 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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