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Simplifying 5x + -1(x + 5) = 7x + 3 Reorder the terms: 5x + -1(5 + x) = 7x + 3 5x + (5 * -1 + x * -1) = 7x + 3 5x + (-5 + -1x) = 7x + 3 Reorder the terms: -5 + 5x + -1x = 7x + 3 Combine like terms: 5x + -1x = 4x -5 + 4x = 7x + 3 Reorder the terms: -5 + 4x = 3 + 7x Solving -5 + 4x = 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. -5 + 4x + -7x = 3 + 7x + -7x Combine like terms: 4x + -7x = -3x -5 + -3x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -3x = 3 + 0 -5 + -3x = 3 Add '5' to each side of the equation. -5 + 5 + -3x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 3 + 5 -3x = 3 + 5 Combine like terms: 3 + 5 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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