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Simplifying 75 = -2x + 7(2x + 21) Reorder the terms: 75 = -2x + 7(21 + 2x) 75 = -2x + (21 * 7 + 2x * 7) 75 = -2x + (147 + 14x) Reorder the terms: 75 = 147 + -2x + 14x Combine like terms: -2x + 14x = 12x 75 = 147 + 12x Solving 75 = 147 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 75 + -12x = 147 + 12x + -12x Combine like terms: 12x + -12x = 0 75 + -12x = 147 + 0 75 + -12x = 147 Add '-75' to each side of the equation. 75 + -75 + -12x = 147 + -75 Combine like terms: 75 + -75 = 0 0 + -12x = 147 + -75 -12x = 147 + -75 Combine like terms: 147 + -75 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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