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Simplifying 2(x + -1) + 6(x + -3) = 5x + -17 Reorder the terms: 2(-1 + x) + 6(x + -3) = 5x + -17 (-1 * 2 + x * 2) + 6(x + -3) = 5x + -17 (-2 + 2x) + 6(x + -3) = 5x + -17 Reorder the terms: -2 + 2x + 6(-3 + x) = 5x + -17 -2 + 2x + (-3 * 6 + x * 6) = 5x + -17 -2 + 2x + (-18 + 6x) = 5x + -17 Reorder the terms: -2 + -18 + 2x + 6x = 5x + -17 Combine like terms: -2 + -18 = -20 -20 + 2x + 6x = 5x + -17 Combine like terms: 2x + 6x = 8x -20 + 8x = 5x + -17 Reorder the terms: -20 + 8x = -17 + 5x Solving -20 + 8x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 8x + -5x = -17 + 5x + -5x Combine like terms: 8x + -5x = 3x -20 + 3x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 3x = -17 + 0 -20 + 3x = -17 Add '20' to each side of the equation. -20 + 20 + 3x = -17 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -17 + 20 3x = -17 + 20 Combine like terms: -17 + 20 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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