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Simplifying 4x + 19 = 12x + -61 Reorder the terms: 19 + 4x = 12x + -61 Reorder the terms: 19 + 4x = -61 + 12x Solving 19 + 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. 19 + 4x + -12x = -61 + 12x + -12x Combine like terms: 4x + -12x = -8x 19 + -8x = -61 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -8x = -61 + 0 19 + -8x = -61 Add '-19' to each side of the equation. 19 + -19 + -8x = -61 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = -61 + -19 -8x = -61 + -19 Combine like terms: -61 + -19 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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