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Simplifying -150 = -1 + -1(6x + 1 + -2x) + -8 Reorder the terms: -150 = -1 + -1(1 + 6x + -2x) + -8 Combine like terms: 6x + -2x = 4x -150 = -1 + -1(1 + 4x) + -8 -150 = -1 + (1 * -1 + 4x * -1) + -8 -150 = -1 + (-1 + -4x) + -8 Reorder the terms: -150 = -1 + -1 + -8 + -4x Combine like terms: -1 + -1 = -2 -150 = -2 + -8 + -4x Combine like terms: -2 + -8 = -10 -150 = -10 + -4x Solving -150 = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -150 + 4x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -150 + 4x = -10 + 0 -150 + 4x = -10 Add '150' to each side of the equation. -150 + 150 + 4x = -10 + 150 Combine like terms: -150 + 150 = 0 0 + 4x = -10 + 150 4x = -10 + 150 Combine like terms: -10 + 150 = 140 4x = 140 Divide each side by '4'. x = 35 Simplifying x = 35
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