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Simplifying 4x + 8 + -2 = 3x + 45 Reorder the terms: 8 + -2 + 4x = 3x + 45 Combine like terms: 8 + -2 = 6 6 + 4x = 3x + 45 Reorder the terms: 6 + 4x = 45 + 3x Solving 6 + 4x = 45 + 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. 6 + 4x + -3x = 45 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = 45 + 0 6 + 1x = 45 Add '-6' to each side of the equation. 6 + -6 + 1x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 45 + -6 1x = 45 + -6 Combine like terms: 45 + -6 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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