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Simplifying -78 = -5(8 + -7x) + 4(1 + -7x) -78 = (8 * -5 + -7x * -5) + 4(1 + -7x) -78 = (-40 + 35x) + 4(1 + -7x) -78 = -40 + 35x + (1 * 4 + -7x * 4) -78 = -40 + 35x + (4 + -28x) Reorder the terms: -78 = -40 + 4 + 35x + -28x Combine like terms: -40 + 4 = -36 -78 = -36 + 35x + -28x Combine like terms: 35x + -28x = 7x -78 = -36 + 7x Solving -78 = -36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -78 + -7x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -78 + -7x = -36 + 0 -78 + -7x = -36 Add '78' to each side of the equation. -78 + 78 + -7x = -36 + 78 Combine like terms: -78 + 78 = 0 0 + -7x = -36 + 78 -7x = -36 + 78 Combine like terms: -36 + 78 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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