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Simplifying 7(x + -4) + -3(2x + 1) = 13 Reorder the terms: 7(-4 + x) + -3(2x + 1) = 13 (-4 * 7 + x * 7) + -3(2x + 1) = 13 (-28 + 7x) + -3(2x + 1) = 13 Reorder the terms: -28 + 7x + -3(1 + 2x) = 13 -28 + 7x + (1 * -3 + 2x * -3) = 13 -28 + 7x + (-3 + -6x) = 13 Reorder the terms: -28 + -3 + 7x + -6x = 13 Combine like terms: -28 + -3 = -31 -31 + 7x + -6x = 13 Combine like terms: 7x + -6x = 1x -31 + 1x = 13 Solving -31 + 1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1x = 13 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = 13 + 31 1x = 13 + 31 Combine like terms: 13 + 31 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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