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Simplifying 2x + -2(3x + -7) = 5x + -3(3 + -2x) Reorder the terms: 2x + -2(-7 + 3x) = 5x + -3(3 + -2x) 2x + (-7 * -2 + 3x * -2) = 5x + -3(3 + -2x) 2x + (14 + -6x) = 5x + -3(3 + -2x) Reorder the terms: 14 + 2x + -6x = 5x + -3(3 + -2x) Combine like terms: 2x + -6x = -4x 14 + -4x = 5x + -3(3 + -2x) 14 + -4x = 5x + (3 * -3 + -2x * -3) 14 + -4x = 5x + (-9 + 6x) Reorder the terms: 14 + -4x = -9 + 5x + 6x Combine like terms: 5x + 6x = 11x 14 + -4x = -9 + 11x Solving 14 + -4x = -9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + -4x + -11x = -9 + 11x + -11x Combine like terms: -4x + -11x = -15x 14 + -15x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -15x = -9 + 0 14 + -15x = -9 Add '-14' to each side of the equation. 14 + -14 + -15x = -9 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = -9 + -14 -15x = -9 + -14 Combine like terms: -9 + -14 = -23 -15x = -23 Divide each side by '-15'. x = 1.533333333 Simplifying x = 1.533333333
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