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Simplifying 6(x + 2) + 4(x + -3) = 50 Reorder the terms: 6(2 + x) + 4(x + -3) = 50 (2 * 6 + x * 6) + 4(x + -3) = 50 (12 + 6x) + 4(x + -3) = 50 Reorder the terms: 12 + 6x + 4(-3 + x) = 50 12 + 6x + (-3 * 4 + x * 4) = 50 12 + 6x + (-12 + 4x) = 50 Reorder the terms: 12 + -12 + 6x + 4x = 50 Combine like terms: 12 + -12 = 0 0 + 6x + 4x = 50 6x + 4x = 50 Combine like terms: 6x + 4x = 10x 10x = 50 Solving 10x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '10'. x = 5 Simplifying x = 5
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