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Simplifying 8x + -1(9x + 3) = 6x + -31 Reorder the terms: 8x + -1(3 + 9x) = 6x + -31 8x + (3 * -1 + 9x * -1) = 6x + -31 8x + (-3 + -9x) = 6x + -31 Reorder the terms: -3 + 8x + -9x = 6x + -31 Combine like terms: 8x + -9x = -1x -3 + -1x = 6x + -31 Reorder the terms: -3 + -1x = -31 + 6x Solving -3 + -1x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -1x + -6x = -31 + 6x + -6x Combine like terms: -1x + -6x = -7x -3 + -7x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -7x = -31 + 0 -3 + -7x = -31 Add '3' to each side of the equation. -3 + 3 + -7x = -31 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -31 + 3 -7x = -31 + 3 Combine like terms: -31 + 3 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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