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Simplifying 2(3x + -1) = 5 + -1(x + 17) Reorder the terms: 2(-1 + 3x) = 5 + -1(x + 17) (-1 * 2 + 3x * 2) = 5 + -1(x + 17) (-2 + 6x) = 5 + -1(x + 17) Reorder the terms: -2 + 6x = 5 + -1(17 + x) -2 + 6x = 5 + (17 * -1 + x * -1) -2 + 6x = 5 + (-17 + -1x) Combine like terms: 5 + -17 = -12 -2 + 6x = -12 + -1x Solving -2 + 6x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 6x + x = -12 + -1x + x Combine like terms: 6x + x = 7x -2 + 7x = -12 + -1x + x Combine like terms: -1x + x = 0 -2 + 7x = -12 + 0 -2 + 7x = -12 Add '2' to each side of the equation. -2 + 2 + 7x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -12 + 2 7x = -12 + 2 Combine like terms: -12 + 2 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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