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