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Simplifying 4x + 7(-4x + -10) = 74 Reorder the terms: 4x + 7(-10 + -4x) = 74 4x + (-10 * 7 + -4x * 7) = 74 4x + (-70 + -28x) = 74 Reorder the terms: -70 + 4x + -28x = 74 Combine like terms: 4x + -28x = -24x -70 + -24x = 74 Solving -70 + -24x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -24x = 74 + 70 Combine like terms: -70 + 70 = 0 0 + -24x = 74 + 70 -24x = 74 + 70 Combine like terms: 74 + 70 = 144 -24x = 144 Divide each side by '-24'. x = -6 Simplifying x = -6
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