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Simplifying 7(3x + -4) + -4(3 + -1x) = 10 Reorder the terms: 7(-4 + 3x) + -4(3 + -1x) = 10 (-4 * 7 + 3x * 7) + -4(3 + -1x) = 10 (-28 + 21x) + -4(3 + -1x) = 10 -28 + 21x + (3 * -4 + -1x * -4) = 10 -28 + 21x + (-12 + 4x) = 10 Reorder the terms: -28 + -12 + 21x + 4x = 10 Combine like terms: -28 + -12 = -40 -40 + 21x + 4x = 10 Combine like terms: 21x + 4x = 25x -40 + 25x = 10 Solving -40 + 25x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 25x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 25x = 10 + 40 25x = 10 + 40 Combine like terms: 10 + 40 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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