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Simplifying 6 = -5(4x + 3) + 21x Reorder the terms: 6 = -5(3 + 4x) + 21x 6 = (3 * -5 + 4x * -5) + 21x 6 = (-15 + -20x) + 21x Combine like terms: -20x + 21x = 1x 6 = -15 + 1x Solving 6 = -15 + 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. 6 + -1x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -1x = -15 + 0 6 + -1x = -15 Add '-6' to each side of the equation. 6 + -6 + -1x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -15 + -6 -1x = -15 + -6 Combine like terms: -15 + -6 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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