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Simplifying -2x + -40 = -7(x + 8) + 6 Reorder the terms: -40 + -2x = -7(x + 8) + 6 Reorder the terms: -40 + -2x = -7(8 + x) + 6 -40 + -2x = (8 * -7 + x * -7) + 6 -40 + -2x = (-56 + -7x) + 6 Reorder the terms: -40 + -2x = -56 + 6 + -7x Combine like terms: -56 + 6 = -50 -40 + -2x = -50 + -7x Solving -40 + -2x = -50 + -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 + -2x + 7x = -50 + -7x + 7x Combine like terms: -2x + 7x = 5x -40 + 5x = -50 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 5x = -50 + 0 -40 + 5x = -50 Add '40' to each side of the equation. -40 + 40 + 5x = -50 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -50 + 40 5x = -50 + 40 Combine like terms: -50 + 40 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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