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Simplifying 2x + 5 + -3(3x + -5) = 2(3x + -5) + -4 Reorder the terms: 2x + 5 + -3(-5 + 3x) = 2(3x + -5) + -4 2x + 5 + (-5 * -3 + 3x * -3) = 2(3x + -5) + -4 2x + 5 + (15 + -9x) = 2(3x + -5) + -4 Reorder the terms: 5 + 15 + 2x + -9x = 2(3x + -5) + -4 Combine like terms: 5 + 15 = 20 20 + 2x + -9x = 2(3x + -5) + -4 Combine like terms: 2x + -9x = -7x 20 + -7x = 2(3x + -5) + -4 Reorder the terms: 20 + -7x = 2(-5 + 3x) + -4 20 + -7x = (-5 * 2 + 3x * 2) + -4 20 + -7x = (-10 + 6x) + -4 Reorder the terms: 20 + -7x = -10 + -4 + 6x Combine like terms: -10 + -4 = -14 20 + -7x = -14 + 6x Solving 20 + -7x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + -7x + -6x = -14 + 6x + -6x Combine like terms: -7x + -6x = -13x 20 + -13x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -13x = -14 + 0 20 + -13x = -14 Add '-20' to each side of the equation. 20 + -20 + -13x = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -14 + -20 -13x = -14 + -20 Combine like terms: -14 + -20 = -34 -13x = -34 Divide each side by '-13'. x = 2.615384615 Simplifying x = 2.615384615
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