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Simplifying 2(3x + -1) + -5(x + 3) = -6(x + 3) Reorder the terms: 2(-1 + 3x) + -5(x + 3) = -6(x + 3) (-1 * 2 + 3x * 2) + -5(x + 3) = -6(x + 3) (-2 + 6x) + -5(x + 3) = -6(x + 3) Reorder the terms: -2 + 6x + -5(3 + x) = -6(x + 3) -2 + 6x + (3 * -5 + x * -5) = -6(x + 3) -2 + 6x + (-15 + -5x) = -6(x + 3) Reorder the terms: -2 + -15 + 6x + -5x = -6(x + 3) Combine like terms: -2 + -15 = -17 -17 + 6x + -5x = -6(x + 3) Combine like terms: 6x + -5x = 1x -17 + 1x = -6(x + 3) Reorder the terms: -17 + 1x = -6(3 + x) -17 + 1x = (3 * -6 + x * -6) -17 + 1x = (-18 + -6x) Solving -17 + 1x = -18 + -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. -17 + 1x + 6x = -18 + -6x + 6x Combine like terms: 1x + 6x = 7x -17 + 7x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 7x = -18 + 0 -17 + 7x = -18 Add '17' to each side of the equation. -17 + 17 + 7x = -18 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -18 + 17 7x = -18 + 17 Combine like terms: -18 + 17 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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