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Simplifying 4(6x + -31) = 5 + -4(x + 3) Reorder the terms: 4(-31 + 6x) = 5 + -4(x + 3) (-31 * 4 + 6x * 4) = 5 + -4(x + 3) (-124 + 24x) = 5 + -4(x + 3) Reorder the terms: -124 + 24x = 5 + -4(3 + x) -124 + 24x = 5 + (3 * -4 + x * -4) -124 + 24x = 5 + (-12 + -4x) Combine like terms: 5 + -12 = -7 -124 + 24x = -7 + -4x Solving -124 + 24x = -7 + -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. -124 + 24x + 4x = -7 + -4x + 4x Combine like terms: 24x + 4x = 28x -124 + 28x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -124 + 28x = -7 + 0 -124 + 28x = -7 Add '124' to each side of the equation. -124 + 124 + 28x = -7 + 124 Combine like terms: -124 + 124 = 0 0 + 28x = -7 + 124 28x = -7 + 124 Combine like terms: -7 + 124 = 117 28x = 117 Divide each side by '28'. x = 4.178571429 Simplifying x = 4.178571429
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