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Simplifying 7(x + -47) + 7x = 10 + -6x Reorder the terms: 7(-47 + x) + 7x = 10 + -6x (-47 * 7 + x * 7) + 7x = 10 + -6x (-329 + 7x) + 7x = 10 + -6x Combine like terms: 7x + 7x = 14x -329 + 14x = 10 + -6x Solving -329 + 14x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -329 + 14x + 6x = 10 + -6x + 6x Combine like terms: 14x + 6x = 20x -329 + 20x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -329 + 20x = 10 + 0 -329 + 20x = 10 Add '329' to each side of the equation. -329 + 329 + 20x = 10 + 329 Combine like terms: -329 + 329 = 0 0 + 20x = 10 + 329 20x = 10 + 329 Combine like terms: 10 + 329 = 339 20x = 339 Divide each side by '20'. x = 16.95 Simplifying x = 16.95
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