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Simplifying 31 + -2(4x + 3) = 4(2x + -11) + 4 Reorder the terms: 31 + -2(3 + 4x) = 4(2x + -11) + 4 31 + (3 * -2 + 4x * -2) = 4(2x + -11) + 4 31 + (-6 + -8x) = 4(2x + -11) + 4 Combine like terms: 31 + -6 = 25 25 + -8x = 4(2x + -11) + 4 Reorder the terms: 25 + -8x = 4(-11 + 2x) + 4 25 + -8x = (-11 * 4 + 2x * 4) + 4 25 + -8x = (-44 + 8x) + 4 Reorder the terms: 25 + -8x = -44 + 4 + 8x Combine like terms: -44 + 4 = -40 25 + -8x = -40 + 8x Solving 25 + -8x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + -8x + -8x = -40 + 8x + -8x Combine like terms: -8x + -8x = -16x 25 + -16x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + -16x = -40 + 0 25 + -16x = -40 Add '-25' to each side of the equation. 25 + -25 + -16x = -40 + -25 Combine like terms: 25 + -25 = 0 0 + -16x = -40 + -25 -16x = -40 + -25 Combine like terms: -40 + -25 = -65 -16x = -65 Divide each side by '-16'. x = 4.0625 Simplifying x = 4.0625
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