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Simplifying 2(x + 4) + -6(x + -7) = 50 Reorder the terms: 2(4 + x) + -6(x + -7) = 50 (4 * 2 + x * 2) + -6(x + -7) = 50 (8 + 2x) + -6(x + -7) = 50 Reorder the terms: 8 + 2x + -6(-7 + x) = 50 8 + 2x + (-7 * -6 + x * -6) = 50 8 + 2x + (42 + -6x) = 50 Reorder the terms: 8 + 42 + 2x + -6x = 50 Combine like terms: 8 + 42 = 50 50 + 2x + -6x = 50 Combine like terms: 2x + -6x = -4x 50 + -4x = 50 Add '-50' to each side of the equation. 50 + -50 + -4x = 50 + -50 Combine like terms: 50 + -50 = 0 0 + -4x = 50 + -50 -4x = 50 + -50 Combine like terms: 50 + -50 = 0 -4x = 0 Solving -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-4'. x = 0 Simplifying x = 0
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