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Simplifying 3x + -1(2) * x + (-3)(x + 2) = 5x + (-7) Multiply -1 * 2 3x + -2x + (-3)(x + 2) = 5x + (-7) Reorder the terms: 3x + -2x + -3(2 + x) = 5x + (-7) 3x + -2x + (2 * -3 + x * -3) = 5x + (-7) 3x + -2x + (-6 + -3x) = 5x + (-7) Reorder the terms: -6 + 3x + -2x + -3x = 5x + (-7) Combine like terms: 3x + -2x = 1x -6 + 1x + -3x = 5x + (-7) Combine like terms: 1x + -3x = -2x -6 + -2x = 5x + (-7) -6 + -2x = 5x + -7 Reorder the terms: -6 + -2x = -7 + 5x Solving -6 + -2x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -2x + -5x = -7 + 5x + -5x Combine like terms: -2x + -5x = -7x -6 + -7x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -7x = -7 + 0 -6 + -7x = -7 Add '6' to each side of the equation. -6 + 6 + -7x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -7 + 6 -7x = -7 + 6 Combine like terms: -7 + 6 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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