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Simplifying 5x + 2(3x + -4) = 14 + -7 Reorder the terms: 5x + 2(-4 + 3x) = 14 + -7 5x + (-4 * 2 + 3x * 2) = 14 + -7 5x + (-8 + 6x) = 14 + -7 Reorder the terms: -8 + 5x + 6x = 14 + -7 Combine like terms: 5x + 6x = 11x -8 + 11x = 14 + -7 Combine like terms: 14 + -7 = 7 -8 + 11x = 7 Solving -8 + 11x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 11x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 7 + 8 11x = 7 + 8 Combine like terms: 7 + 8 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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