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Simplifying 11 + -48 = 5(x + -1) + -7 Combine like terms: 11 + -48 = -37 -37 = 5(x + -1) + -7 Reorder the terms: -37 = 5(-1 + x) + -7 -37 = (-1 * 5 + x * 5) + -7 -37 = (-5 + 5x) + -7 Reorder the terms: -37 = -5 + -7 + 5x Combine like terms: -5 + -7 = -12 -37 = -12 + 5x Solving -37 = -12 + 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. -37 + -5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + -5x = -12 + 0 -37 + -5x = -12 Add '37' to each side of the equation. -37 + 37 + -5x = -12 + 37 Combine like terms: -37 + 37 = 0 0 + -5x = -12 + 37 -5x = -12 + 37 Combine like terms: -12 + 37 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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