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Simplifying -5(4x + 5) = 4 + 2(4x + -8) Reorder the terms: -5(5 + 4x) = 4 + 2(4x + -8) (5 * -5 + 4x * -5) = 4 + 2(4x + -8) (-25 + -20x) = 4 + 2(4x + -8) Reorder the terms: -25 + -20x = 4 + 2(-8 + 4x) -25 + -20x = 4 + (-8 * 2 + 4x * 2) -25 + -20x = 4 + (-16 + 8x) Combine like terms: 4 + -16 = -12 -25 + -20x = -12 + 8x Solving -25 + -20x = -12 + 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 + -20x + -8x = -12 + 8x + -8x Combine like terms: -20x + -8x = -28x -25 + -28x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + -28x = -12 + 0 -25 + -28x = -12 Add '25' to each side of the equation. -25 + 25 + -28x = -12 + 25 Combine like terms: -25 + 25 = 0 0 + -28x = -12 + 25 -28x = -12 + 25 Combine like terms: -12 + 25 = 13 -28x = 13 Divide each side by '-28'. x = -0.4642857143 Simplifying x = -0.4642857143
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