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Simplifying 5x + -2(x + -7) = 21x + 5 Reorder the terms: 5x + -2(-7 + x) = 21x + 5 5x + (-7 * -2 + x * -2) = 21x + 5 5x + (14 + -2x) = 21x + 5 Reorder the terms: 14 + 5x + -2x = 21x + 5 Combine like terms: 5x + -2x = 3x 14 + 3x = 21x + 5 Reorder the terms: 14 + 3x = 5 + 21x Solving 14 + 3x = 5 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 14 + 3x + -21x = 5 + 21x + -21x Combine like terms: 3x + -21x = -18x 14 + -18x = 5 + 21x + -21x Combine like terms: 21x + -21x = 0 14 + -18x = 5 + 0 14 + -18x = 5 Add '-14' to each side of the equation. 14 + -14 + -18x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -18x = 5 + -14 -18x = 5 + -14 Combine like terms: 5 + -14 = -9 -18x = -9 Divide each side by '-18'. x = 0.5 Simplifying x = 0.5
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