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