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Simplifying 7(x + -3) = 4(x + 5) Reorder the terms: 7(-3 + x) = 4(x + 5) (-3 * 7 + x * 7) = 4(x + 5) (-21 + 7x) = 4(x + 5) Reorder the terms: -21 + 7x = 4(5 + x) -21 + 7x = (5 * 4 + x * 4) -21 + 7x = (20 + 4x) Solving -21 + 7x = 20 + 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. -21 + 7x + -4x = 20 + 4x + -4x Combine like terms: 7x + -4x = 3x -21 + 3x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 3x = 20 + 0 -21 + 3x = 20 Add '21' to each side of the equation. -21 + 21 + 3x = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 20 + 21 3x = 20 + 21 Combine like terms: 20 + 21 = 41 3x = 41 Divide each side by '3'. x = 13.66666667 Simplifying x = 13.66666667
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