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