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Simplifying 7 = -5(4x + 1) + 21x Reorder the terms: 7 = -5(1 + 4x) + 21x 7 = (1 * -5 + 4x * -5) + 21x 7 = (-5 + -20x) + 21x Combine like terms: -20x + 21x = 1x 7 = -5 + 1x Solving 7 = -5 + 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. 7 + -1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -1x = -5 + 0 7 + -1x = -5 Add '-7' to each side of the equation. 7 + -7 + -1x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -5 + -7 -1x = -5 + -7 Combine like terms: -5 + -7 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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