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Simplifying 6x + -1(5x + 9) = 2x + -38 Reorder the terms: 6x + -1(9 + 5x) = 2x + -38 6x + (9 * -1 + 5x * -1) = 2x + -38 6x + (-9 + -5x) = 2x + -38 Reorder the terms: -9 + 6x + -5x = 2x + -38 Combine like terms: 6x + -5x = 1x -9 + 1x = 2x + -38 Reorder the terms: -9 + 1x = -38 + 2x Solving -9 + 1x = -38 + 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. -9 + 1x + -2x = -38 + 2x + -2x Combine like terms: 1x + -2x = -1x -9 + -1x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -1x = -38 + 0 -9 + -1x = -38 Add '9' to each side of the equation. -9 + 9 + -1x = -38 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -38 + 9 -1x = -38 + 9 Combine like terms: -38 + 9 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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