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Simplifying 2x + -1(2x + 9) + -6 = -4x + -6(-9 + -1x) + 2 Reorder the terms: 2x + -1(9 + 2x) + -6 = -4x + -6(-9 + -1x) + 2 2x + (9 * -1 + 2x * -1) + -6 = -4x + -6(-9 + -1x) + 2 2x + (-9 + -2x) + -6 = -4x + -6(-9 + -1x) + 2 Reorder the terms: -9 + -6 + 2x + -2x = -4x + -6(-9 + -1x) + 2 Combine like terms: -9 + -6 = -15 -15 + 2x + -2x = -4x + -6(-9 + -1x) + 2 Combine like terms: 2x + -2x = 0 -15 + 0 = -4x + -6(-9 + -1x) + 2 -15 = -4x + -6(-9 + -1x) + 2 -15 = -4x + (-9 * -6 + -1x * -6) + 2 -15 = -4x + (54 + 6x) + 2 Reorder the terms: -15 = 54 + 2 + -4x + 6x Combine like terms: 54 + 2 = 56 -15 = 56 + -4x + 6x Combine like terms: -4x + 6x = 2x -15 = 56 + 2x Solving -15 = 56 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -2x = 56 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -2x = 56 + 0 -15 + -2x = 56 Add '15' to each side of the equation. -15 + 15 + -2x = 56 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 56 + 15 -2x = 56 + 15 Combine like terms: 56 + 15 = 71 -2x = 71 Divide each side by '-2'. x = -35.5 Simplifying x = -35.5
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