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Simplifying 100 = 6x + 5(2x + 4) Reorder the terms: 100 = 6x + 5(4 + 2x) 100 = 6x + (4 * 5 + 2x * 5) 100 = 6x + (20 + 10x) Reorder the terms: 100 = 20 + 6x + 10x Combine like terms: 6x + 10x = 16x 100 = 20 + 16x Solving 100 = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 100 + -16x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 100 + -16x = 20 + 0 100 + -16x = 20 Add '-100' to each side of the equation. 100 + -100 + -16x = 20 + -100 Combine like terms: 100 + -100 = 0 0 + -16x = 20 + -100 -16x = 20 + -100 Combine like terms: 20 + -100 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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