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Simplifying 6(x + 4) + -4(x + -7) = 100 Reorder the terms: 6(4 + x) + -4(x + -7) = 100 (4 * 6 + x * 6) + -4(x + -7) = 100 (24 + 6x) + -4(x + -7) = 100 Reorder the terms: 24 + 6x + -4(-7 + x) = 100 24 + 6x + (-7 * -4 + x * -4) = 100 24 + 6x + (28 + -4x) = 100 Reorder the terms: 24 + 28 + 6x + -4x = 100 Combine like terms: 24 + 28 = 52 52 + 6x + -4x = 100 Combine like terms: 6x + -4x = 2x 52 + 2x = 100 Solving 52 + 2x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 2x = 100 + -52 Combine like terms: 52 + -52 = 0 0 + 2x = 100 + -52 2x = 100 + -52 Combine like terms: 100 + -52 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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