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Simplifying 5 + -10(x + -7) = -5(1 + 4x) Reorder the terms: 5 + -10(-7 + x) = -5(1 + 4x) 5 + (-7 * -10 + x * -10) = -5(1 + 4x) 5 + (70 + -10x) = -5(1 + 4x) Combine like terms: 5 + 70 = 75 75 + -10x = -5(1 + 4x) 75 + -10x = (1 * -5 + 4x * -5) 75 + -10x = (-5 + -20x) Solving 75 + -10x = -5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 75 + -10x + 20x = -5 + -20x + 20x Combine like terms: -10x + 20x = 10x 75 + 10x = -5 + -20x + 20x Combine like terms: -20x + 20x = 0 75 + 10x = -5 + 0 75 + 10x = -5 Add '-75' to each side of the equation. 75 + -75 + 10x = -5 + -75 Combine like terms: 75 + -75 = 0 0 + 10x = -5 + -75 10x = -5 + -75 Combine like terms: -5 + -75 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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