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Simplifying 7x + -1(8x + 8) = 2x + -38 Reorder the terms: 7x + -1(8 + 8x) = 2x + -38 7x + (8 * -1 + 8x * -1) = 2x + -38 7x + (-8 + -8x) = 2x + -38 Reorder the terms: -8 + 7x + -8x = 2x + -38 Combine like terms: 7x + -8x = -1x -8 + -1x = 2x + -38 Reorder the terms: -8 + -1x = -38 + 2x Solving -8 + -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. -8 + -1x + -2x = -38 + 2x + -2x Combine like terms: -1x + -2x = -3x -8 + -3x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -3x = -38 + 0 -8 + -3x = -38 Add '8' to each side of the equation. -8 + 8 + -3x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -38 + 8 -3x = -38 + 8 Combine like terms: -38 + 8 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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