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Simplifying 4x + -8 + 45 = 3x + -6 Reorder the terms: -8 + 45 + 4x = 3x + -6 Combine like terms: -8 + 45 = 37 37 + 4x = 3x + -6 Reorder the terms: 37 + 4x = -6 + 3x Solving 37 + 4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 37 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x 37 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + 1x = -6 + 0 37 + 1x = -6 Add '-37' to each side of the equation. 37 + -37 + 1x = -6 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = -6 + -37 1x = -6 + -37 Combine like terms: -6 + -37 = -43 1x = -43 Divide each side by '1'. x = -43 Simplifying x = -43
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