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Simplifying 7(7x + -5) + -3(9x + 4) = 63 Reorder the terms: 7(-5 + 7x) + -3(9x + 4) = 63 (-5 * 7 + 7x * 7) + -3(9x + 4) = 63 (-35 + 49x) + -3(9x + 4) = 63 Reorder the terms: -35 + 49x + -3(4 + 9x) = 63 -35 + 49x + (4 * -3 + 9x * -3) = 63 -35 + 49x + (-12 + -27x) = 63 Reorder the terms: -35 + -12 + 49x + -27x = 63 Combine like terms: -35 + -12 = -47 -47 + 49x + -27x = 63 Combine like terms: 49x + -27x = 22x -47 + 22x = 63 Solving -47 + 22x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 22x = 63 + 47 Combine like terms: -47 + 47 = 0 0 + 22x = 63 + 47 22x = 63 + 47 Combine like terms: 63 + 47 = 110 22x = 110 Divide each side by '22'. x = 5 Simplifying x = 5
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