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Simplifying 7x + -1(3x + 5) + -8 = 1.5(8x + 20) + -7x + 5 Reorder the terms: 7x + -1(5 + 3x) + -8 = 1.5(8x + 20) + -7x + 5 7x + (5 * -1 + 3x * -1) + -8 = 1.5(8x + 20) + -7x + 5 7x + (-5 + -3x) + -8 = 1.5(8x + 20) + -7x + 5 Reorder the terms: -5 + -8 + 7x + -3x = 1.5(8x + 20) + -7x + 5 Combine like terms: -5 + -8 = -13 -13 + 7x + -3x = 1.5(8x + 20) + -7x + 5 Combine like terms: 7x + -3x = 4x -13 + 4x = 1.5(8x + 20) + -7x + 5 Reorder the terms: -13 + 4x = 1.5(20 + 8x) + -7x + 5 -13 + 4x = (20 * 1.5 + 8x * 1.5) + -7x + 5 -13 + 4x = (30 + 12x) + -7x + 5 Reorder the terms: -13 + 4x = 30 + 5 + 12x + -7x Combine like terms: 30 + 5 = 35 -13 + 4x = 35 + 12x + -7x Combine like terms: 12x + -7x = 5x -13 + 4x = 35 + 5x Solving -13 + 4x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 4x + -5x = 35 + 5x + -5x Combine like terms: 4x + -5x = -1x -13 + -1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -1x = 35 + 0 -13 + -1x = 35 Add '13' to each side of the equation. -13 + 13 + -1x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 35 + 13 -1x = 35 + 13 Combine like terms: 35 + 13 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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