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Simplifying 440 = -7x + -8(-8 + 5x) 440 = -7x + (-8 * -8 + 5x * -8) 440 = -7x + (64 + -40x) Reorder the terms: 440 = 64 + -7x + -40x Combine like terms: -7x + -40x = -47x 440 = 64 + -47x Solving 440 = 64 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. 440 + 47x = 64 + -47x + 47x Combine like terms: -47x + 47x = 0 440 + 47x = 64 + 0 440 + 47x = 64 Add '-440' to each side of the equation. 440 + -440 + 47x = 64 + -440 Combine like terms: 440 + -440 = 0 0 + 47x = 64 + -440 47x = 64 + -440 Combine like terms: 64 + -440 = -376 47x = -376 Divide each side by '47'. x = -8 Simplifying x = -8
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