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Simplifying 7 + -6x + -2 = -23 + 4x + -12 Reorder the terms: 7 + -2 + -6x = -23 + 4x + -12 Combine like terms: 7 + -2 = 5 5 + -6x = -23 + 4x + -12 Reorder the terms: 5 + -6x = -23 + -12 + 4x Combine like terms: -23 + -12 = -35 5 + -6x = -35 + 4x Solving 5 + -6x = -35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -6x + -4x = -35 + 4x + -4x Combine like terms: -6x + -4x = -10x 5 + -10x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -10x = -35 + 0 5 + -10x = -35 Add '-5' to each side of the equation. 5 + -5 + -10x = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -35 + -5 -10x = -35 + -5 Combine like terms: -35 + -5 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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