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Simplifying 17 + -3(2x + -7) = 7x + -3(2x + -1) Reorder the terms: 17 + -3(-7 + 2x) = 7x + -3(2x + -1) 17 + (-7 * -3 + 2x * -3) = 7x + -3(2x + -1) 17 + (21 + -6x) = 7x + -3(2x + -1) Combine like terms: 17 + 21 = 38 38 + -6x = 7x + -3(2x + -1) Reorder the terms: 38 + -6x = 7x + -3(-1 + 2x) 38 + -6x = 7x + (-1 * -3 + 2x * -3) 38 + -6x = 7x + (3 + -6x) Reorder the terms: 38 + -6x = 3 + 7x + -6x Combine like terms: 7x + -6x = 1x 38 + -6x = 3 + 1x Solving 38 + -6x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 38 + -6x + -1x = 3 + 1x + -1x Combine like terms: -6x + -1x = -7x 38 + -7x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 38 + -7x = 3 + 0 38 + -7x = 3 Add '-38' to each side of the equation. 38 + -38 + -7x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + -7x = 3 + -38 -7x = 3 + -38 Combine like terms: 3 + -38 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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