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Simplifying -2(4x + -3) + 7x = 5(x + 2) Reorder the terms: -2(-3 + 4x) + 7x = 5(x + 2) (-3 * -2 + 4x * -2) + 7x = 5(x + 2) (6 + -8x) + 7x = 5(x + 2) Combine like terms: -8x + 7x = -1x 6 + -1x = 5(x + 2) Reorder the terms: 6 + -1x = 5(2 + x) 6 + -1x = (2 * 5 + x * 5) 6 + -1x = (10 + 5x) Solving 6 + -1x = 10 + 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 + -1x + -5x = 10 + 5x + -5x Combine like terms: -1x + -5x = -6x 6 + -6x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -6x = 10 + 0 6 + -6x = 10 Add '-6' to each side of the equation. 6 + -6 + -6x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 10 + -6 -6x = 10 + -6 Combine like terms: 10 + -6 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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