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Simplifying 3(2x + -1) + 5 + -2x = 5 + -1(6x + -17) Reorder the terms: 3(-1 + 2x) + 5 + -2x = 5 + -1(6x + -17) (-1 * 3 + 2x * 3) + 5 + -2x = 5 + -1(6x + -17) (-3 + 6x) + 5 + -2x = 5 + -1(6x + -17) Reorder the terms: -3 + 5 + 6x + -2x = 5 + -1(6x + -17) Combine like terms: -3 + 5 = 2 2 + 6x + -2x = 5 + -1(6x + -17) Combine like terms: 6x + -2x = 4x 2 + 4x = 5 + -1(6x + -17) Reorder the terms: 2 + 4x = 5 + -1(-17 + 6x) 2 + 4x = 5 + (-17 * -1 + 6x * -1) 2 + 4x = 5 + (17 + -6x) Combine like terms: 5 + 17 = 22 2 + 4x = 22 + -6x Solving 2 + 4x = 22 + -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. 2 + 4x + 6x = 22 + -6x + 6x Combine like terms: 4x + 6x = 10x 2 + 10x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 10x = 22 + 0 2 + 10x = 22 Add '-2' to each side of the equation. 2 + -2 + 10x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 22 + -2 10x = 22 + -2 Combine like terms: 22 + -2 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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