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Simplifying 7(x + -3) + 3(x + -4) = 2 Reorder the terms: 7(-3 + x) + 3(x + -4) = 2 (-3 * 7 + x * 7) + 3(x + -4) = 2 (-21 + 7x) + 3(x + -4) = 2 Reorder the terms: -21 + 7x + 3(-4 + x) = 2 -21 + 7x + (-4 * 3 + x * 3) = 2 -21 + 7x + (-12 + 3x) = 2 Reorder the terms: -21 + -12 + 7x + 3x = 2 Combine like terms: -21 + -12 = -33 -33 + 7x + 3x = 2 Combine like terms: 7x + 3x = 10x -33 + 10x = 2 Solving -33 + 10x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 10x = 2 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 2 + 33 10x = 2 + 33 Combine like terms: 2 + 33 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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