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Simplifying 5x + -1(7x + 8) + -3x = 2(x + 7) Reorder the terms: 5x + -1(8 + 7x) + -3x = 2(x + 7) 5x + (8 * -1 + 7x * -1) + -3x = 2(x + 7) 5x + (-8 + -7x) + -3x = 2(x + 7) Reorder the terms: -8 + 5x + -7x + -3x = 2(x + 7) Combine like terms: 5x + -7x = -2x -8 + -2x + -3x = 2(x + 7) Combine like terms: -2x + -3x = -5x -8 + -5x = 2(x + 7) Reorder the terms: -8 + -5x = 2(7 + x) -8 + -5x = (7 * 2 + x * 2) -8 + -5x = (14 + 2x) Solving -8 + -5x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -5x + -2x = 14 + 2x + -2x Combine like terms: -5x + -2x = -7x -8 + -7x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -7x = 14 + 0 -8 + -7x = 14 Add '8' to each side of the equation. -8 + 8 + -7x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 14 + 8 -7x = 14 + 8 Combine like terms: 14 + 8 = 22 -7x = 22 Divide each side by '-7'. x = -3.142857143 Simplifying x = -3.142857143
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