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Simplifying 5 + -1(x + 7) + 4x = 7(x + -1) Reorder the terms: 5 + -1(7 + x) + 4x = 7(x + -1) 5 + (7 * -1 + x * -1) + 4x = 7(x + -1) 5 + (-7 + -1x) + 4x = 7(x + -1) Combine like terms: 5 + -7 = -2 -2 + -1x + 4x = 7(x + -1) Combine like terms: -1x + 4x = 3x -2 + 3x = 7(x + -1) Reorder the terms: -2 + 3x = 7(-1 + x) -2 + 3x = (-1 * 7 + x * 7) -2 + 3x = (-7 + 7x) Solving -2 + 3x = -7 + 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. -2 + 3x + -7x = -7 + 7x + -7x Combine like terms: 3x + -7x = -4x -2 + -4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -4x = -7 + 0 -2 + -4x = -7 Add '2' to each side of the equation. -2 + 2 + -4x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -7 + 2 -4x = -7 + 2 Combine like terms: -7 + 2 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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