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Simplifying -37 + 2x = -3x + -2(-8x + 2) Reorder the terms: -37 + 2x = -3x + -2(2 + -8x) -37 + 2x = -3x + (2 * -2 + -8x * -2) -37 + 2x = -3x + (-4 + 16x) Reorder the terms: -37 + 2x = -4 + -3x + 16x Combine like terms: -3x + 16x = 13x -37 + 2x = -4 + 13x Solving -37 + 2x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -37 + 2x + -13x = -4 + 13x + -13x Combine like terms: 2x + -13x = -11x -37 + -11x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -37 + -11x = -4 + 0 -37 + -11x = -4 Add '37' to each side of the equation. -37 + 37 + -11x = -4 + 37 Combine like terms: -37 + 37 = 0 0 + -11x = -4 + 37 -11x = -4 + 37 Combine like terms: -4 + 37 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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