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Simplifying 8x + -37 = -4(3 + -3x) + -5 Reorder the terms: -37 + 8x = -4(3 + -3x) + -5 -37 + 8x = (3 * -4 + -3x * -4) + -5 -37 + 8x = (-12 + 12x) + -5 Reorder the terms: -37 + 8x = -12 + -5 + 12x Combine like terms: -12 + -5 = -17 -37 + 8x = -17 + 12x Solving -37 + 8x = -17 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -37 + 8x + -12x = -17 + 12x + -12x Combine like terms: 8x + -12x = -4x -37 + -4x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 -37 + -4x = -17 + 0 -37 + -4x = -17 Add '37' to each side of the equation. -37 + 37 + -4x = -17 + 37 Combine like terms: -37 + 37 = 0 0 + -4x = -17 + 37 -4x = -17 + 37 Combine like terms: -17 + 37 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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