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Simplifying 7(x + -8) = 2(x + 22) + 940 Reorder the terms: 7(-8 + x) = 2(x + 22) + 940 (-8 * 7 + x * 7) = 2(x + 22) + 940 (-56 + 7x) = 2(x + 22) + 940 Reorder the terms: -56 + 7x = 2(22 + x) + 940 -56 + 7x = (22 * 2 + x * 2) + 940 -56 + 7x = (44 + 2x) + 940 Reorder the terms: -56 + 7x = 44 + 940 + 2x Combine like terms: 44 + 940 = 984 -56 + 7x = 984 + 2x Solving -56 + 7x = 984 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -56 + 7x + -2x = 984 + 2x + -2x Combine like terms: 7x + -2x = 5x -56 + 5x = 984 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 5x = 984 + 0 -56 + 5x = 984 Add '56' to each side of the equation. -56 + 56 + 5x = 984 + 56 Combine like terms: -56 + 56 = 0 0 + 5x = 984 + 56 5x = 984 + 56 Combine like terms: 984 + 56 = 1040 5x = 1040 Divide each side by '5'. x = 208 Simplifying x = 208
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