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Simplifying 4x + -1(3x + 8) = 9x + -40 Reorder the terms: 4x + -1(8 + 3x) = 9x + -40 4x + (8 * -1 + 3x * -1) = 9x + -40 4x + (-8 + -3x) = 9x + -40 Reorder the terms: -8 + 4x + -3x = 9x + -40 Combine like terms: 4x + -3x = 1x -8 + 1x = 9x + -40 Reorder the terms: -8 + 1x = -40 + 9x Solving -8 + 1x = -40 + 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 + 1x + -9x = -40 + 9x + -9x Combine like terms: 1x + -9x = -8x -8 + -8x = -40 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -8x = -40 + 0 -8 + -8x = -40 Add '8' to each side of the equation. -8 + 8 + -8x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -40 + 8 -8x = -40 + 8 Combine like terms: -40 + 8 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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