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Simplifying 5 + 7(2x + -2) = -6(2x + -1) + 8x Reorder the terms: 5 + 7(-2 + 2x) = -6(2x + -1) + 8x 5 + (-2 * 7 + 2x * 7) = -6(2x + -1) + 8x 5 + (-14 + 14x) = -6(2x + -1) + 8x Combine like terms: 5 + -14 = -9 -9 + 14x = -6(2x + -1) + 8x Reorder the terms: -9 + 14x = -6(-1 + 2x) + 8x -9 + 14x = (-1 * -6 + 2x * -6) + 8x -9 + 14x = (6 + -12x) + 8x Combine like terms: -12x + 8x = -4x -9 + 14x = 6 + -4x Solving -9 + 14x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 14x + 4x = 6 + -4x + 4x Combine like terms: 14x + 4x = 18x -9 + 18x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 18x = 6 + 0 -9 + 18x = 6 Add '9' to each side of the equation. -9 + 9 + 18x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 18x = 6 + 9 18x = 6 + 9 Combine like terms: 6 + 9 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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