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Simplifying 4(x + -5) = 16(2x + -31) Reorder the terms: 4(-5 + x) = 16(2x + -31) (-5 * 4 + x * 4) = 16(2x + -31) (-20 + 4x) = 16(2x + -31) Reorder the terms: -20 + 4x = 16(-31 + 2x) -20 + 4x = (-31 * 16 + 2x * 16) -20 + 4x = (-496 + 32x) Solving -20 + 4x = -496 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -20 + 4x + -32x = -496 + 32x + -32x Combine like terms: 4x + -32x = -28x -20 + -28x = -496 + 32x + -32x Combine like terms: 32x + -32x = 0 -20 + -28x = -496 + 0 -20 + -28x = -496 Add '20' to each side of the equation. -20 + 20 + -28x = -496 + 20 Combine like terms: -20 + 20 = 0 0 + -28x = -496 + 20 -28x = -496 + 20 Combine like terms: -496 + 20 = -476 -28x = -476 Divide each side by '-28'. x = 17 Simplifying x = 17
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