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Simplifying 114 + -4x = 3x + 9 Reorder the terms: 114 + -4x = 9 + 3x Solving 114 + -4x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 114 + -4x + -3x = 9 + 3x + -3x Combine like terms: -4x + -3x = -7x 114 + -7x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 114 + -7x = 9 + 0 114 + -7x = 9 Add '-114' to each side of the equation. 114 + -114 + -7x = 9 + -114 Combine like terms: 114 + -114 = 0 0 + -7x = 9 + -114 -7x = 9 + -114 Combine like terms: 9 + -114 = -105 -7x = -105 Divide each side by '-7'. x = 15 Simplifying x = 15
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