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Simplifying 5(x + 3) + -4(3 + -1x) = 21 Reorder the terms: 5(3 + x) + -4(3 + -1x) = 21 (3 * 5 + x * 5) + -4(3 + -1x) = 21 (15 + 5x) + -4(3 + -1x) = 21 15 + 5x + (3 * -4 + -1x * -4) = 21 15 + 5x + (-12 + 4x) = 21 Reorder the terms: 15 + -12 + 5x + 4x = 21 Combine like terms: 15 + -12 = 3 3 + 5x + 4x = 21 Combine like terms: 5x + 4x = 9x 3 + 9x = 21 Solving 3 + 9x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 21 + -3 9x = 21 + -3 Combine like terms: 21 + -3 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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