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Simplifying 114 + -5x = 10x + 24 Reorder the terms: 114 + -5x = 24 + 10x Solving 114 + -5x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 114 + -5x + -10x = 24 + 10x + -10x Combine like terms: -5x + -10x = -15x 114 + -15x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 114 + -15x = 24 + 0 114 + -15x = 24 Add '-114' to each side of the equation. 114 + -114 + -15x = 24 + -114 Combine like terms: 114 + -114 = 0 0 + -15x = 24 + -114 -15x = 24 + -114 Combine like terms: 24 + -114 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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