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Simplifying 10 = -5(4x + 2) + 21x Reorder the terms: 10 = -5(2 + 4x) + 21x 10 = (2 * -5 + 4x * -5) + 21x 10 = (-10 + -20x) + 21x Combine like terms: -20x + 21x = 1x 10 = -10 + 1x Solving 10 = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -1x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -1x = -10 + 0 10 + -1x = -10 Add '-10' to each side of the equation. 10 + -10 + -1x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -10 + -10 -1x = -10 + -10 Combine like terms: -10 + -10 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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