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Simplifying 4x + 3(6x + -18) = 100 Reorder the terms: 4x + 3(-18 + 6x) = 100 4x + (-18 * 3 + 6x * 3) = 100 4x + (-54 + 18x) = 100 Reorder the terms: -54 + 4x + 18x = 100 Combine like terms: 4x + 18x = 22x -54 + 22x = 100 Solving -54 + 22x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 22x = 100 + 54 Combine like terms: -54 + 54 = 0 0 + 22x = 100 + 54 22x = 100 + 54 Combine like terms: 100 + 54 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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