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Simplifying 7(x + -3) + -4(x + -1) = 4 Reorder the terms: 7(-3 + x) + -4(x + -1) = 4 (-3 * 7 + x * 7) + -4(x + -1) = 4 (-21 + 7x) + -4(x + -1) = 4 Reorder the terms: -21 + 7x + -4(-1 + x) = 4 -21 + 7x + (-1 * -4 + x * -4) = 4 -21 + 7x + (4 + -4x) = 4 Reorder the terms: -21 + 4 + 7x + -4x = 4 Combine like terms: -21 + 4 = -17 -17 + 7x + -4x = 4 Combine like terms: 7x + -4x = 3x -17 + 3x = 4 Solving -17 + 3x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 4 + 17 3x = 4 + 17 Combine like terms: 4 + 17 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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