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Simplifying 64 + -1(3x + 9) = 3(x + 9) + x Reorder the terms: 64 + -1(9 + 3x) = 3(x + 9) + x 64 + (9 * -1 + 3x * -1) = 3(x + 9) + x 64 + (-9 + -3x) = 3(x + 9) + x Combine like terms: 64 + -9 = 55 55 + -3x = 3(x + 9) + x Reorder the terms: 55 + -3x = 3(9 + x) + x 55 + -3x = (9 * 3 + x * 3) + x 55 + -3x = (27 + 3x) + x Combine like terms: 3x + x = 4x 55 + -3x = 27 + 4x Solving 55 + -3x = 27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 55 + -3x + -4x = 27 + 4x + -4x Combine like terms: -3x + -4x = -7x 55 + -7x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 55 + -7x = 27 + 0 55 + -7x = 27 Add '-55' to each side of the equation. 55 + -55 + -7x = 27 + -55 Combine like terms: 55 + -55 = 0 0 + -7x = 27 + -55 -7x = 27 + -55 Combine like terms: 27 + -55 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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