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Simplifying 7(5x + -9) + -4(2x + 3) = 3x + 21 Reorder the terms: 7(-9 + 5x) + -4(2x + 3) = 3x + 21 (-9 * 7 + 5x * 7) + -4(2x + 3) = 3x + 21 (-63 + 35x) + -4(2x + 3) = 3x + 21 Reorder the terms: -63 + 35x + -4(3 + 2x) = 3x + 21 -63 + 35x + (3 * -4 + 2x * -4) = 3x + 21 -63 + 35x + (-12 + -8x) = 3x + 21 Reorder the terms: -63 + -12 + 35x + -8x = 3x + 21 Combine like terms: -63 + -12 = -75 -75 + 35x + -8x = 3x + 21 Combine like terms: 35x + -8x = 27x -75 + 27x = 3x + 21 Reorder the terms: -75 + 27x = 21 + 3x Solving -75 + 27x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -75 + 27x + -3x = 21 + 3x + -3x Combine like terms: 27x + -3x = 24x -75 + 24x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -75 + 24x = 21 + 0 -75 + 24x = 21 Add '75' to each side of the equation. -75 + 75 + 24x = 21 + 75 Combine like terms: -75 + 75 = 0 0 + 24x = 21 + 75 24x = 21 + 75 Combine like terms: 21 + 75 = 96 24x = 96 Divide each side by '24'. x = 4 Simplifying x = 4
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