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Simplifying -2x + -4(3 + -4x) = 5(x + -4) + -37 -2x + (3 * -4 + -4x * -4) = 5(x + -4) + -37 -2x + (-12 + 16x) = 5(x + -4) + -37 Reorder the terms: -12 + -2x + 16x = 5(x + -4) + -37 Combine like terms: -2x + 16x = 14x -12 + 14x = 5(x + -4) + -37 Reorder the terms: -12 + 14x = 5(-4 + x) + -37 -12 + 14x = (-4 * 5 + x * 5) + -37 -12 + 14x = (-20 + 5x) + -37 Reorder the terms: -12 + 14x = -20 + -37 + 5x Combine like terms: -20 + -37 = -57 -12 + 14x = -57 + 5x Solving -12 + 14x = -57 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 14x + -5x = -57 + 5x + -5x Combine like terms: 14x + -5x = 9x -12 + 9x = -57 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 9x = -57 + 0 -12 + 9x = -57 Add '12' to each side of the equation. -12 + 12 + 9x = -57 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -57 + 12 9x = -57 + 12 Combine like terms: -57 + 12 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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