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Simplifying 2(6x + -5) + -7(3x + -5) = 4x + -1 Reorder the terms: 2(-5 + 6x) + -7(3x + -5) = 4x + -1 (-5 * 2 + 6x * 2) + -7(3x + -5) = 4x + -1 (-10 + 12x) + -7(3x + -5) = 4x + -1 Reorder the terms: -10 + 12x + -7(-5 + 3x) = 4x + -1 -10 + 12x + (-5 * -7 + 3x * -7) = 4x + -1 -10 + 12x + (35 + -21x) = 4x + -1 Reorder the terms: -10 + 35 + 12x + -21x = 4x + -1 Combine like terms: -10 + 35 = 25 25 + 12x + -21x = 4x + -1 Combine like terms: 12x + -21x = -9x 25 + -9x = 4x + -1 Reorder the terms: 25 + -9x = -1 + 4x Solving 25 + -9x = -1 + 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. 25 + -9x + -4x = -1 + 4x + -4x Combine like terms: -9x + -4x = -13x 25 + -13x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + -13x = -1 + 0 25 + -13x = -1 Add '-25' to each side of the equation. 25 + -25 + -13x = -1 + -25 Combine like terms: 25 + -25 = 0 0 + -13x = -1 + -25 -13x = -1 + -25 Combine like terms: -1 + -25 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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