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Simplifying 3(2x + -5) + -5(4x + 2) = 9x + -1(7x + -2) Reorder the terms: 3(-5 + 2x) + -5(4x + 2) = 9x + -1(7x + -2) (-5 * 3 + 2x * 3) + -5(4x + 2) = 9x + -1(7x + -2) (-15 + 6x) + -5(4x + 2) = 9x + -1(7x + -2) Reorder the terms: -15 + 6x + -5(2 + 4x) = 9x + -1(7x + -2) -15 + 6x + (2 * -5 + 4x * -5) = 9x + -1(7x + -2) -15 + 6x + (-10 + -20x) = 9x + -1(7x + -2) Reorder the terms: -15 + -10 + 6x + -20x = 9x + -1(7x + -2) Combine like terms: -15 + -10 = -25 -25 + 6x + -20x = 9x + -1(7x + -2) Combine like terms: 6x + -20x = -14x -25 + -14x = 9x + -1(7x + -2) Reorder the terms: -25 + -14x = 9x + -1(-2 + 7x) -25 + -14x = 9x + (-2 * -1 + 7x * -1) -25 + -14x = 9x + (2 + -7x) Reorder the terms: -25 + -14x = 2 + 9x + -7x Combine like terms: 9x + -7x = 2x -25 + -14x = 2 + 2x Solving -25 + -14x = 2 + 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 + -14x + -2x = 2 + 2x + -2x Combine like terms: -14x + -2x = -16x -25 + -16x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + -16x = 2 + 0 -25 + -16x = 2 Add '25' to each side of the equation. -25 + 25 + -16x = 2 + 25 Combine like terms: -25 + 25 = 0 0 + -16x = 2 + 25 -16x = 2 + 25 Combine like terms: 2 + 25 = 27 -16x = 27 Divide each side by '-16'. x = -1.6875 Simplifying x = -1.6875
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