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Simplifying 7x + -1(3x + 5) + -8 = 0.5(8x + 20) + -7x + 5 Reorder the terms: 7x + -1(5 + 3x) + -8 = 0.5(8x + 20) + -7x + 5 7x + (5 * -1 + 3x * -1) + -8 = 0.5(8x + 20) + -7x + 5 7x + (-5 + -3x) + -8 = 0.5(8x + 20) + -7x + 5 Reorder the terms: -5 + -8 + 7x + -3x = 0.5(8x + 20) + -7x + 5 Combine like terms: -5 + -8 = -13 -13 + 7x + -3x = 0.5(8x + 20) + -7x + 5 Combine like terms: 7x + -3x = 4x -13 + 4x = 0.5(8x + 20) + -7x + 5 Reorder the terms: -13 + 4x = 0.5(20 + 8x) + -7x + 5 -13 + 4x = (20 * 0.5 + 8x * 0.5) + -7x + 5 -13 + 4x = (10 + 4x) + -7x + 5 Reorder the terms: -13 + 4x = 10 + 5 + 4x + -7x Combine like terms: 10 + 5 = 15 -13 + 4x = 15 + 4x + -7x Combine like terms: 4x + -7x = -3x -13 + 4x = 15 + -3x Solving -13 + 4x = 15 + -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. -13 + 4x + 3x = 15 + -3x + 3x Combine like terms: 4x + 3x = 7x -13 + 7x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 7x = 15 + 0 -13 + 7x = 15 Add '13' to each side of the equation. -13 + 13 + 7x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 15 + 13 7x = 15 + 13 Combine like terms: 15 + 13 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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