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Simplifying 2x + -5(3x + 5) = 2(x + -3) + 26 Reorder the terms: 2x + -5(5 + 3x) = 2(x + -3) + 26 2x + (5 * -5 + 3x * -5) = 2(x + -3) + 26 2x + (-25 + -15x) = 2(x + -3) + 26 Reorder the terms: -25 + 2x + -15x = 2(x + -3) + 26 Combine like terms: 2x + -15x = -13x -25 + -13x = 2(x + -3) + 26 Reorder the terms: -25 + -13x = 2(-3 + x) + 26 -25 + -13x = (-3 * 2 + x * 2) + 26 -25 + -13x = (-6 + 2x) + 26 Reorder the terms: -25 + -13x = -6 + 26 + 2x Combine like terms: -6 + 26 = 20 -25 + -13x = 20 + 2x Solving -25 + -13x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + -13x + -2x = 20 + 2x + -2x Combine like terms: -13x + -2x = -15x -25 + -15x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + -15x = 20 + 0 -25 + -15x = 20 Add '25' to each side of the equation. -25 + 25 + -15x = 20 + 25 Combine like terms: -25 + 25 = 0 0 + -15x = 20 + 25 -15x = 20 + 25 Combine like terms: 20 + 25 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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