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Simplifying 3x + 7 + 4(x + -13) = 18 Reorder the terms: 3x + 7 + 4(-13 + x) = 18 3x + 7 + (-13 * 4 + x * 4) = 18 3x + 7 + (-52 + 4x) = 18 Reorder the terms: 7 + -52 + 3x + 4x = 18 Combine like terms: 7 + -52 = -45 -45 + 3x + 4x = 18 Combine like terms: 3x + 4x = 7x -45 + 7x = 18 Solving -45 + 7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 7x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 18 + 45 7x = 18 + 45 Combine like terms: 18 + 45 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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