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Simplifying 7(7 + -4x + -6x) + 7(9x + 5) = 21 Combine like terms: -4x + -6x = -10x 7(7 + -10x) + 7(9x + 5) = 21 (7 * 7 + -10x * 7) + 7(9x + 5) = 21 (49 + -70x) + 7(9x + 5) = 21 Reorder the terms: 49 + -70x + 7(5 + 9x) = 21 49 + -70x + (5 * 7 + 9x * 7) = 21 49 + -70x + (35 + 63x) = 21 Reorder the terms: 49 + 35 + -70x + 63x = 21 Combine like terms: 49 + 35 = 84 84 + -70x + 63x = 21 Combine like terms: -70x + 63x = -7x 84 + -7x = 21 Solving 84 + -7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -7x = 21 + -84 Combine like terms: 84 + -84 = 0 0 + -7x = 21 + -84 -7x = 21 + -84 Combine like terms: 21 + -84 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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