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Simplifying -31 + 6x = -1 + -3(-5x + 1) Reorder the terms: -31 + 6x = -1 + -3(1 + -5x) -31 + 6x = -1 + (1 * -3 + -5x * -3) -31 + 6x = -1 + (-3 + 15x) Combine like terms: -1 + -3 = -4 -31 + 6x = -4 + 15x Solving -31 + 6x = -4 + 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. -31 + 6x + -15x = -4 + 15x + -15x Combine like terms: 6x + -15x = -9x -31 + -9x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -31 + -9x = -4 + 0 -31 + -9x = -4 Add '31' to each side of the equation. -31 + 31 + -9x = -4 + 31 Combine like terms: -31 + 31 = 0 0 + -9x = -4 + 31 -9x = -4 + 31 Combine like terms: -4 + 31 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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