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Simplifying -7 + 6(-5x + 1) = 3(-5x + -8) + -2 Reorder the terms: -7 + 6(1 + -5x) = 3(-5x + -8) + -2 -7 + (1 * 6 + -5x * 6) = 3(-5x + -8) + -2 -7 + (6 + -30x) = 3(-5x + -8) + -2 Combine like terms: -7 + 6 = -1 -1 + -30x = 3(-5x + -8) + -2 Reorder the terms: -1 + -30x = 3(-8 + -5x) + -2 -1 + -30x = (-8 * 3 + -5x * 3) + -2 -1 + -30x = (-24 + -15x) + -2 Reorder the terms: -1 + -30x = -24 + -2 + -15x Combine like terms: -24 + -2 = -26 -1 + -30x = -26 + -15x Solving -1 + -30x = -26 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -1 + -30x + 15x = -26 + -15x + 15x Combine like terms: -30x + 15x = -15x -1 + -15x = -26 + -15x + 15x Combine like terms: -15x + 15x = 0 -1 + -15x = -26 + 0 -1 + -15x = -26 Add '1' to each side of the equation. -1 + 1 + -15x = -26 + 1 Combine like terms: -1 + 1 = 0 0 + -15x = -26 + 1 -15x = -26 + 1 Combine like terms: -26 + 1 = -25 -15x = -25 Divide each side by '-15'. x = 1.666666667 Simplifying x = 1.666666667
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