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Simplifying 7(x + 3) + -3(x + -9) = 64 Reorder the terms: 7(3 + x) + -3(x + -9) = 64 (3 * 7 + x * 7) + -3(x + -9) = 64 (21 + 7x) + -3(x + -9) = 64 Reorder the terms: 21 + 7x + -3(-9 + x) = 64 21 + 7x + (-9 * -3 + x * -3) = 64 21 + 7x + (27 + -3x) = 64 Reorder the terms: 21 + 27 + 7x + -3x = 64 Combine like terms: 21 + 27 = 48 48 + 7x + -3x = 64 Combine like terms: 7x + -3x = 4x 48 + 4x = 64 Solving 48 + 4x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 4x = 64 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 64 + -48 4x = 64 + -48 Combine like terms: 64 + -48 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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