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Simplifying 8x + -31 = 5(3x + -2) Reorder the terms: -31 + 8x = 5(3x + -2) Reorder the terms: -31 + 8x = 5(-2 + 3x) -31 + 8x = (-2 * 5 + 3x * 5) -31 + 8x = (-10 + 15x) Solving -31 + 8x = -10 + 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 + 8x + -15x = -10 + 15x + -15x Combine like terms: 8x + -15x = -7x -31 + -7x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -31 + -7x = -10 + 0 -31 + -7x = -10 Add '31' to each side of the equation. -31 + 31 + -7x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = -10 + 31 -7x = -10 + 31 Combine like terms: -10 + 31 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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