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Simplifying 2(3x + -7) + -5(3x + 4) = -4(7x + 2) + -1(-5x + -3) Reorder the terms: 2(-7 + 3x) + -5(3x + 4) = -4(7x + 2) + -1(-5x + -3) (-7 * 2 + 3x * 2) + -5(3x + 4) = -4(7x + 2) + -1(-5x + -3) (-14 + 6x) + -5(3x + 4) = -4(7x + 2) + -1(-5x + -3) Reorder the terms: -14 + 6x + -5(4 + 3x) = -4(7x + 2) + -1(-5x + -3) -14 + 6x + (4 * -5 + 3x * -5) = -4(7x + 2) + -1(-5x + -3) -14 + 6x + (-20 + -15x) = -4(7x + 2) + -1(-5x + -3) Reorder the terms: -14 + -20 + 6x + -15x = -4(7x + 2) + -1(-5x + -3) Combine like terms: -14 + -20 = -34 -34 + 6x + -15x = -4(7x + 2) + -1(-5x + -3) Combine like terms: 6x + -15x = -9x -34 + -9x = -4(7x + 2) + -1(-5x + -3) Reorder the terms: -34 + -9x = -4(2 + 7x) + -1(-5x + -3) -34 + -9x = (2 * -4 + 7x * -4) + -1(-5x + -3) -34 + -9x = (-8 + -28x) + -1(-5x + -3) Reorder the terms: -34 + -9x = -8 + -28x + -1(-3 + -5x) -34 + -9x = -8 + -28x + (-3 * -1 + -5x * -1) -34 + -9x = -8 + -28x + (3 + 5x) Reorder the terms: -34 + -9x = -8 + 3 + -28x + 5x Combine like terms: -8 + 3 = -5 -34 + -9x = -5 + -28x + 5x Combine like terms: -28x + 5x = -23x -34 + -9x = -5 + -23x Solving -34 + -9x = -5 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -34 + -9x + 23x = -5 + -23x + 23x Combine like terms: -9x + 23x = 14x -34 + 14x = -5 + -23x + 23x Combine like terms: -23x + 23x = 0 -34 + 14x = -5 + 0 -34 + 14x = -5 Add '34' to each side of the equation. -34 + 34 + 14x = -5 + 34 Combine like terms: -34 + 34 = 0 0 + 14x = -5 + 34 14x = -5 + 34 Combine like terms: -5 + 34 = 29 14x = 29 Divide each side by '14'. x = 2.071428571 Simplifying x = 2.071428571
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