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Simplifying 25 + -1(3x + -5) = 4x + -1(7 + -6x) Reorder the terms: 25 + -1(-5 + 3x) = 4x + -1(7 + -6x) 25 + (-5 * -1 + 3x * -1) = 4x + -1(7 + -6x) 25 + (5 + -3x) = 4x + -1(7 + -6x) Combine like terms: 25 + 5 = 30 30 + -3x = 4x + -1(7 + -6x) 30 + -3x = 4x + (7 * -1 + -6x * -1) 30 + -3x = 4x + (-7 + 6x) Reorder the terms: 30 + -3x = -7 + 4x + 6x Combine like terms: 4x + 6x = 10x 30 + -3x = -7 + 10x Solving 30 + -3x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30 + -3x + -10x = -7 + 10x + -10x Combine like terms: -3x + -10x = -13x 30 + -13x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -13x = -7 + 0 30 + -13x = -7 Add '-30' to each side of the equation. 30 + -30 + -13x = -7 + -30 Combine like terms: 30 + -30 = 0 0 + -13x = -7 + -30 -13x = -7 + -30 Combine like terms: -7 + -30 = -37 -13x = -37 Divide each side by '-13'. x = 2.846153846 Simplifying x = 2.846153846
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