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Simplifying 4(4x + -2) + 31 = 13x + 2 Reorder the terms: 4(-2 + 4x) + 31 = 13x + 2 (-2 * 4 + 4x * 4) + 31 = 13x + 2 (-8 + 16x) + 31 = 13x + 2 Reorder the terms: -8 + 31 + 16x = 13x + 2 Combine like terms: -8 + 31 = 23 23 + 16x = 13x + 2 Reorder the terms: 23 + 16x = 2 + 13x Solving 23 + 16x = 2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 23 + 16x + -13x = 2 + 13x + -13x Combine like terms: 16x + -13x = 3x 23 + 3x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 23 + 3x = 2 + 0 23 + 3x = 2 Add '-23' to each side of the equation. 23 + -23 + 3x = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 2 + -23 3x = 2 + -23 Combine like terms: 2 + -23 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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