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Simplifying 14x + 7 + -11x = 6x + -65 + 18x Reorder the terms: 7 + 14x + -11x = 6x + -65 + 18x Combine like terms: 14x + -11x = 3x 7 + 3x = 6x + -65 + 18x Reorder the terms: 7 + 3x = -65 + 6x + 18x Combine like terms: 6x + 18x = 24x 7 + 3x = -65 + 24x Solving 7 + 3x = -65 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 7 + 3x + -24x = -65 + 24x + -24x Combine like terms: 3x + -24x = -21x 7 + -21x = -65 + 24x + -24x Combine like terms: 24x + -24x = 0 7 + -21x = -65 + 0 7 + -21x = -65 Add '-7' to each side of the equation. 7 + -7 + -21x = -65 + -7 Combine like terms: 7 + -7 = 0 0 + -21x = -65 + -7 -21x = -65 + -7 Combine like terms: -65 + -7 = -72 -21x = -72 Divide each side by '-21'. x = 3.428571429 Simplifying x = 3.428571429
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