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Simplifying 6 + -7(-2x + 2) = -2(4x + -9) + 5 Reorder the terms: 6 + -7(2 + -2x) = -2(4x + -9) + 5 6 + (2 * -7 + -2x * -7) = -2(4x + -9) + 5 6 + (-14 + 14x) = -2(4x + -9) + 5 Combine like terms: 6 + -14 = -8 -8 + 14x = -2(4x + -9) + 5 Reorder the terms: -8 + 14x = -2(-9 + 4x) + 5 -8 + 14x = (-9 * -2 + 4x * -2) + 5 -8 + 14x = (18 + -8x) + 5 Reorder the terms: -8 + 14x = 18 + 5 + -8x Combine like terms: 18 + 5 = 23 -8 + 14x = 23 + -8x Solving -8 + 14x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 14x + 8x = 23 + -8x + 8x Combine like terms: 14x + 8x = 22x -8 + 22x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 22x = 23 + 0 -8 + 22x = 23 Add '8' to each side of the equation. -8 + 8 + 22x = 23 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 23 + 8 22x = 23 + 8 Combine like terms: 23 + 8 = 31 22x = 31 Divide each side by '22'. x = 1.409090909 Simplifying x = 1.409090909
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