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Simplifying 4x + 5 = 3(x + 1) + 7 Reorder the terms: 5 + 4x = 3(x + 1) + 7 Reorder the terms: 5 + 4x = 3(1 + x) + 7 5 + 4x = (1 * 3 + x * 3) + 7 5 + 4x = (3 + 3x) + 7 Reorder the terms: 5 + 4x = 3 + 7 + 3x Combine like terms: 3 + 7 = 10 5 + 4x = 10 + 3x Solving 5 + 4x = 10 + 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. 5 + 4x + -3x = 10 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 10 + 0 5 + 1x = 10 Add '-5' to each side of the equation. 5 + -5 + 1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 10 + -5 1x = 10 + -5 Combine like terms: 10 + -5 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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