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Simplifying -4(2x + -5) + -4x + 3 = -61 Reorder the terms: -4(-5 + 2x) + -4x + 3 = -61 (-5 * -4 + 2x * -4) + -4x + 3 = -61 (20 + -8x) + -4x + 3 = -61 Reorder the terms: 20 + 3 + -8x + -4x = -61 Combine like terms: 20 + 3 = 23 23 + -8x + -4x = -61 Combine like terms: -8x + -4x = -12x 23 + -12x = -61 Solving 23 + -12x = -61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -12x = -61 + -23 Combine like terms: 23 + -23 = 0 0 + -12x = -61 + -23 -12x = -61 + -23 Combine like terms: -61 + -23 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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