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Simplifying 5x + 4 = 7(x + 1) + -4x Reorder the terms: 4 + 5x = 7(x + 1) + -4x Reorder the terms: 4 + 5x = 7(1 + x) + -4x 4 + 5x = (1 * 7 + x * 7) + -4x 4 + 5x = (7 + 7x) + -4x Combine like terms: 7x + -4x = 3x 4 + 5x = 7 + 3x Solving 4 + 5x = 7 + 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. 4 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = 7 + 0 4 + 2x = 7 Add '-4' to each side of the equation. 4 + -4 + 2x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 7 + -4 2x = 7 + -4 Combine like terms: 7 + -4 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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