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Simplifying 5(3x + -1) + 7x = 4x + -8 Reorder the terms: 5(-1 + 3x) + 7x = 4x + -8 (-1 * 5 + 3x * 5) + 7x = 4x + -8 (-5 + 15x) + 7x = 4x + -8 Combine like terms: 15x + 7x = 22x -5 + 22x = 4x + -8 Reorder the terms: -5 + 22x = -8 + 4x Solving -5 + 22x = -8 + 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. -5 + 22x + -4x = -8 + 4x + -4x Combine like terms: 22x + -4x = 18x -5 + 18x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 18x = -8 + 0 -5 + 18x = -8 Add '5' to each side of the equation. -5 + 5 + 18x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = -8 + 5 18x = -8 + 5 Combine like terms: -8 + 5 = -3 18x = -3 Divide each side by '18'. x = -0.1666666667 Simplifying x = -0.1666666667
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