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Simplifying x * 4 + 126 = x * 12 + -10 Reorder the terms for easier multiplication: 4x + 126 = x * 12 + -10 Reorder the terms: 126 + 4x = x * 12 + -10 Reorder the terms for easier multiplication: 126 + 4x = 12x + -10 Reorder the terms: 126 + 4x = -10 + 12x Solving 126 + 4x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 126 + 4x + -12x = -10 + 12x + -12x Combine like terms: 4x + -12x = -8x 126 + -8x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 126 + -8x = -10 + 0 126 + -8x = -10 Add '-126' to each side of the equation. 126 + -126 + -8x = -10 + -126 Combine like terms: 126 + -126 = 0 0 + -8x = -10 + -126 -8x = -10 + -126 Combine like terms: -10 + -126 = -136 -8x = -136 Divide each side by '-8'. x = 17 Simplifying x = 17
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