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Simplifying 5 + -7(2x + 4) = 21 + 4x Reorder the terms: 5 + -7(4 + 2x) = 21 + 4x 5 + (4 * -7 + 2x * -7) = 21 + 4x 5 + (-28 + -14x) = 21 + 4x Combine like terms: 5 + -28 = -23 -23 + -14x = 21 + 4x Solving -23 + -14x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -23 + -14x + -4x = 21 + 4x + -4x Combine like terms: -14x + -4x = -18x -23 + -18x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + -18x = 21 + 0 -23 + -18x = 21 Add '23' to each side of the equation. -23 + 23 + -18x = 21 + 23 Combine like terms: -23 + 23 = 0 0 + -18x = 21 + 23 -18x = 21 + 23 Combine like terms: 21 + 23 = 44 -18x = 44 Divide each side by '-18'. x = -2.444444444 Simplifying x = -2.444444444
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