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Simplifying 7 = 3(x + -1) + (x + -1) Reorder the terms: 7 = 3(-1 + x) + (x + -1) 7 = (-1 * 3 + x * 3) + (x + -1) 7 = (-3 + 3x) + (x + -1) Reorder the terms: 7 = -3 + 3x + (-1 + x) Remove parenthesis around (-1 + x) 7 = -3 + 3x + -1 + x Reorder the terms: 7 = -3 + -1 + 3x + x Combine like terms: -3 + -1 = -4 7 = -4 + 3x + x Combine like terms: 3x + x = 4x 7 = -4 + 4x Solving 7 = -4 + 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. 7 + -4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -4x = -4 + 0 7 + -4x = -4 Add '-7' to each side of the equation. 7 + -7 + -4x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -4 + -7 -4x = -4 + -7 Combine like terms: -4 + -7 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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