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