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Simplifying 5x + -1(3x + 7) = 3x + 4(5x + -15) Reorder the terms: 5x + -1(7 + 3x) = 3x + 4(5x + -15) 5x + (7 * -1 + 3x * -1) = 3x + 4(5x + -15) 5x + (-7 + -3x) = 3x + 4(5x + -15) Reorder the terms: -7 + 5x + -3x = 3x + 4(5x + -15) Combine like terms: 5x + -3x = 2x -7 + 2x = 3x + 4(5x + -15) Reorder the terms: -7 + 2x = 3x + 4(-15 + 5x) -7 + 2x = 3x + (-15 * 4 + 5x * 4) -7 + 2x = 3x + (-60 + 20x) Reorder the terms: -7 + 2x = -60 + 3x + 20x Combine like terms: 3x + 20x = 23x -7 + 2x = -60 + 23x Solving -7 + 2x = -60 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -7 + 2x + -23x = -60 + 23x + -23x Combine like terms: 2x + -23x = -21x -7 + -21x = -60 + 23x + -23x Combine like terms: 23x + -23x = 0 -7 + -21x = -60 + 0 -7 + -21x = -60 Add '7' to each side of the equation. -7 + 7 + -21x = -60 + 7 Combine like terms: -7 + 7 = 0 0 + -21x = -60 + 7 -21x = -60 + 7 Combine like terms: -60 + 7 = -53 -21x = -53 Divide each side by '-21'. x = 2.523809524 Simplifying x = 2.523809524
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