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Simplifying 3 + 5x + 3 + -3x = 5 + 5x + 7 + -4x Reorder the terms: 3 + 3 + 5x + -3x = 5 + 5x + 7 + -4x Combine like terms: 3 + 3 = 6 6 + 5x + -3x = 5 + 5x + 7 + -4x Combine like terms: 5x + -3x = 2x 6 + 2x = 5 + 5x + 7 + -4x Reorder the terms: 6 + 2x = 5 + 7 + 5x + -4x Combine like terms: 5 + 7 = 12 6 + 2x = 12 + 5x + -4x Combine like terms: 5x + -4x = 1x 6 + 2x = 12 + 1x Solving 6 + 2x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 2x + -1x = 12 + 1x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 1x = 12 + 0 6 + 1x = 12 Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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