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Simplifying -1x + -37 = 3 + -8(-3x + 5) Reorder the terms: -37 + -1x = 3 + -8(-3x + 5) Reorder the terms: -37 + -1x = 3 + -8(5 + -3x) -37 + -1x = 3 + (5 * -8 + -3x * -8) -37 + -1x = 3 + (-40 + 24x) Combine like terms: 3 + -40 = -37 -37 + -1x = -37 + 24x Add '37' to each side of the equation. -37 + 37 + -1x = -37 + 37 + 24x Combine like terms: -37 + 37 = 0 0 + -1x = -37 + 37 + 24x -1x = -37 + 37 + 24x Combine like terms: -37 + 37 = 0 -1x = 0 + 24x -1x = 24x Solving -1x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -1x + -24x = 24x + -24x Combine like terms: -1x + -24x = -25x -25x = 24x + -24x Combine like terms: 24x + -24x = 0 -25x = 0 Divide each side by '-25'. x = 0 Simplifying x = 0
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