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Simplifying 7(x + -5) + 20 = 4x + 6 Reorder the terms: 7(-5 + x) + 20 = 4x + 6 (-5 * 7 + x * 7) + 20 = 4x + 6 (-35 + 7x) + 20 = 4x + 6 Reorder the terms: -35 + 20 + 7x = 4x + 6 Combine like terms: -35 + 20 = -15 -15 + 7x = 4x + 6 Reorder the terms: -15 + 7x = 6 + 4x Solving -15 + 7x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x -15 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 3x = 6 + 0 -15 + 3x = 6 Add '15' to each side of the equation. -15 + 15 + 3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 6 + 15 3x = 6 + 15 Combine like terms: 6 + 15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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