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Simplifying 7(x + -3) + -4(x + 4) = 2 Reorder the terms: 7(-3 + x) + -4(x + 4) = 2 (-3 * 7 + x * 7) + -4(x + 4) = 2 (-21 + 7x) + -4(x + 4) = 2 Reorder the terms: -21 + 7x + -4(4 + x) = 2 -21 + 7x + (4 * -4 + x * -4) = 2 -21 + 7x + (-16 + -4x) = 2 Reorder the terms: -21 + -16 + 7x + -4x = 2 Combine like terms: -21 + -16 = -37 -37 + 7x + -4x = 2 Combine like terms: 7x + -4x = 3x -37 + 3x = 2 Solving -37 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 3x = 2 + 37 Combine like terms: -37 + 37 = 0 0 + 3x = 2 + 37 3x = 2 + 37 Combine like terms: 2 + 37 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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