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Simplifying 4x + 114 = 10x + -12 Reorder the terms: 114 + 4x = 10x + -12 Reorder the terms: 114 + 4x = -12 + 10x Solving 114 + 4x = -12 + 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 + 4x + -10x = -12 + 10x + -10x Combine like terms: 4x + -10x = -6x 114 + -6x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 114 + -6x = -12 + 0 114 + -6x = -12 Add '-114' to each side of the equation. 114 + -114 + -6x = -12 + -114 Combine like terms: 114 + -114 = 0 0 + -6x = -12 + -114 -6x = -12 + -114 Combine like terms: -12 + -114 = -126 -6x = -126 Divide each side by '-6'. x = 21 Simplifying x = 21
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