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Simplifying 2x + -1(8x + 8) = 9x + -38 Reorder the terms: 2x + -1(8 + 8x) = 9x + -38 2x + (8 * -1 + 8x * -1) = 9x + -38 2x + (-8 + -8x) = 9x + -38 Reorder the terms: -8 + 2x + -8x = 9x + -38 Combine like terms: 2x + -8x = -6x -8 + -6x = 9x + -38 Reorder the terms: -8 + -6x = -38 + 9x Solving -8 + -6x = -38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + -6x + -9x = -38 + 9x + -9x Combine like terms: -6x + -9x = -15x -8 + -15x = -38 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -15x = -38 + 0 -8 + -15x = -38 Add '8' to each side of the equation. -8 + 8 + -15x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = -38 + 8 -15x = -38 + 8 Combine like terms: -38 + 8 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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