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Simplifying 4x + -5 = 12x + -61 Reorder the terms: -5 + 4x = 12x + -61 Reorder the terms: -5 + 4x = -61 + 12x Solving -5 + 4x = -61 + 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. -5 + 4x + -12x = -61 + 12x + -12x Combine like terms: 4x + -12x = -8x -5 + -8x = -61 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -8x = -61 + 0 -5 + -8x = -61 Add '5' to each side of the equation. -5 + 5 + -8x = -61 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -61 + 5 -8x = -61 + 5 Combine like terms: -61 + 5 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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