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