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Simplifying 4(2x + -1) + -5(2x + -3) = 21 Reorder the terms: 4(-1 + 2x) + -5(2x + -3) = 21 (-1 * 4 + 2x * 4) + -5(2x + -3) = 21 (-4 + 8x) + -5(2x + -3) = 21 Reorder the terms: -4 + 8x + -5(-3 + 2x) = 21 -4 + 8x + (-3 * -5 + 2x * -5) = 21 -4 + 8x + (15 + -10x) = 21 Reorder the terms: -4 + 15 + 8x + -10x = 21 Combine like terms: -4 + 15 = 11 11 + 8x + -10x = 21 Combine like terms: 8x + -10x = -2x 11 + -2x = 21 Solving 11 + -2x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 21 + -11 -2x = 21 + -11 Combine like terms: 21 + -11 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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