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Simplifying 8x + -37 = -7(1 + -2x) Reorder the terms: -37 + 8x = -7(1 + -2x) -37 + 8x = (1 * -7 + -2x * -7) -37 + 8x = (-7 + 14x) Solving -37 + 8x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -37 + 8x + -14x = -7 + 14x + -14x Combine like terms: 8x + -14x = -6x -37 + -6x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -37 + -6x = -7 + 0 -37 + -6x = -7 Add '37' to each side of the equation. -37 + 37 + -6x = -7 + 37 Combine like terms: -37 + 37 = 0 0 + -6x = -7 + 37 -6x = -7 + 37 Combine like terms: -7 + 37 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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