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Simplifying 7(4 + -4x + -3x) + 5(9x + 2) = 10 Combine like terms: -4x + -3x = -7x 7(4 + -7x) + 5(9x + 2) = 10 (4 * 7 + -7x * 7) + 5(9x + 2) = 10 (28 + -49x) + 5(9x + 2) = 10 Reorder the terms: 28 + -49x + 5(2 + 9x) = 10 28 + -49x + (2 * 5 + 9x * 5) = 10 28 + -49x + (10 + 45x) = 10 Reorder the terms: 28 + 10 + -49x + 45x = 10 Combine like terms: 28 + 10 = 38 38 + -49x + 45x = 10 Combine like terms: -49x + 45x = -4x 38 + -4x = 10 Solving 38 + -4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -4x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 10 + -38 -4x = 10 + -38 Combine like terms: 10 + -38 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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