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Simplifying 8(-2 + 3x) + 7 = 4x + 31 (-2 * 8 + 3x * 8) + 7 = 4x + 31 (-16 + 24x) + 7 = 4x + 31 Reorder the terms: -16 + 7 + 24x = 4x + 31 Combine like terms: -16 + 7 = -9 -9 + 24x = 4x + 31 Reorder the terms: -9 + 24x = 31 + 4x Solving -9 + 24x = 31 + 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. -9 + 24x + -4x = 31 + 4x + -4x Combine like terms: 24x + -4x = 20x -9 + 20x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 20x = 31 + 0 -9 + 20x = 31 Add '9' to each side of the equation. -9 + 9 + 20x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 20x = 31 + 9 20x = 31 + 9 Combine like terms: 31 + 9 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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