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Simplifying -40 + -6x = -4(x + 8) + -3x Reorder the terms: -40 + -6x = -4(8 + x) + -3x -40 + -6x = (8 * -4 + x * -4) + -3x -40 + -6x = (-32 + -4x) + -3x Combine like terms: -4x + -3x = -7x -40 + -6x = -32 + -7x Solving -40 + -6x = -32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + -6x + 7x = -32 + -7x + 7x Combine like terms: -6x + 7x = 1x -40 + 1x = -32 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 1x = -32 + 0 -40 + 1x = -32 Add '40' to each side of the equation. -40 + 40 + 1x = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -32 + 40 1x = -32 + 40 Combine like terms: -32 + 40 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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