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Simplifying 4(x + 3) + 5(2x + -1) = -21 Reorder the terms: 4(3 + x) + 5(2x + -1) = -21 (3 * 4 + x * 4) + 5(2x + -1) = -21 (12 + 4x) + 5(2x + -1) = -21 Reorder the terms: 12 + 4x + 5(-1 + 2x) = -21 12 + 4x + (-1 * 5 + 2x * 5) = -21 12 + 4x + (-5 + 10x) = -21 Reorder the terms: 12 + -5 + 4x + 10x = -21 Combine like terms: 12 + -5 = 7 7 + 4x + 10x = -21 Combine like terms: 4x + 10x = 14x 7 + 14x = -21 Solving 7 + 14x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = -21 + -7 14x = -21 + -7 Combine like terms: -21 + -7 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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