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Simplifying 8(7x + -2) = 33 + 7x Reorder the terms: 8(-2 + 7x) = 33 + 7x (-2 * 8 + 7x * 8) = 33 + 7x (-16 + 56x) = 33 + 7x Solving -16 + 56x = 33 + 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. -16 + 56x + -7x = 33 + 7x + -7x Combine like terms: 56x + -7x = 49x -16 + 49x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 49x = 33 + 0 -16 + 49x = 33 Add '16' to each side of the equation. -16 + 16 + 49x = 33 + 16 Combine like terms: -16 + 16 = 0 0 + 49x = 33 + 16 49x = 33 + 16 Combine like terms: 33 + 16 = 49 49x = 49 Divide each side by '49'. x = 1 Simplifying x = 1
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