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Simplifying 3 + 6(x + -7) = 7x + 17 Reorder the terms: 3 + 6(-7 + x) = 7x + 17 3 + (-7 * 6 + x * 6) = 7x + 17 3 + (-42 + 6x) = 7x + 17 Combine like terms: 3 + -42 = -39 -39 + 6x = 7x + 17 Reorder the terms: -39 + 6x = 17 + 7x Solving -39 + 6x = 17 + 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. -39 + 6x + -7x = 17 + 7x + -7x Combine like terms: 6x + -7x = -1x -39 + -1x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -39 + -1x = 17 + 0 -39 + -1x = 17 Add '39' to each side of the equation. -39 + 39 + -1x = 17 + 39 Combine like terms: -39 + 39 = 0 0 + -1x = 17 + 39 -1x = 17 + 39 Combine like terms: 17 + 39 = 56 -1x = 56 Divide each side by '-1'. x = -56 Simplifying x = -56
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