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Simplifying 5x + 3 = x + 7 + 3x + 10 Reorder the terms: 3 + 5x = x + 7 + 3x + 10 Reorder the terms: 3 + 5x = 7 + 10 + x + 3x Combine like terms: 7 + 10 = 17 3 + 5x = 17 + x + 3x Combine like terms: x + 3x = 4x 3 + 5x = 17 + 4x Solving 3 + 5x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 5x + -4x = 17 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = 17 + 0 3 + 1x = 17 Add '-3' to each side of the equation. 3 + -3 + 1x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 17 + -3 1x = 17 + -3 Combine like terms: 17 + -3 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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