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