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Simplifying 100 = 12 + -4(5x + 3) Reorder the terms: 100 = 12 + -4(3 + 5x) 100 = 12 + (3 * -4 + 5x * -4) 100 = 12 + (-12 + -20x) Combine like terms: 12 + -12 = 0 100 = 0 + -20x 100 = -20x Solving 100 = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 100 + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 100 + 20x = 0 Add '-100' to each side of the equation. 100 + -100 + 20x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 20x = 0 + -100 20x = 0 + -100 Combine like terms: 0 + -100 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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