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Simplifying 4x + 12 = 10x + -6 Reorder the terms: 12 + 4x = 10x + -6 Reorder the terms: 12 + 4x = -6 + 10x Solving 12 + 4x = -6 + 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. 12 + 4x + -10x = -6 + 10x + -10x Combine like terms: 4x + -10x = -6x 12 + -6x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -6x = -6 + 0 12 + -6x = -6 Add '-12' to each side of the equation. 12 + -12 + -6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -6 + -12 -6x = -6 + -12 Combine like terms: -6 + -12 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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