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Simplifying 3x + 6(11 + -5x) + -13 = 53 3x + (11 * 6 + -5x * 6) + -13 = 53 3x + (66 + -30x) + -13 = 53 Reorder the terms: 66 + -13 + 3x + -30x = 53 Combine like terms: 66 + -13 = 53 53 + 3x + -30x = 53 Combine like terms: 3x + -30x = -27x 53 + -27x = 53 Add '-53' to each side of the equation. 53 + -53 + -27x = 53 + -53 Combine like terms: 53 + -53 = 0 0 + -27x = 53 + -53 -27x = 53 + -53 Combine like terms: 53 + -53 = 0 -27x = 0 Solving -27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-27'. x = 0 Simplifying x = 0
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