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Simplifying 5x + -1(3 + 7) = 3x + 4(5 + -15) Combine like terms: 3 + 7 = 10 5x + -1(10) = 3x + 4(5 + -15) Multiply -1 * 10 5x + -10 = 3x + 4(5 + -15) Reorder the terms: -10 + 5x = 3x + 4(5 + -15) Combine like terms: 5 + -15 = -10 -10 + 5x = 3x + 4(-10) Multiply 4 * -10 -10 + 5x = 3x + -40 Reorder the terms: -10 + 5x = -40 + 3x Solving -10 + 5x = -40 + 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. -10 + 5x + -3x = -40 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = -40 + 0 -10 + 2x = -40 Add '10' to each side of the equation. -10 + 10 + 2x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -40 + 10 2x = -40 + 10 Combine like terms: -40 + 10 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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