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Simplifying 6x + -1(5x + 3) = 5(x + -3) + 2 Reorder the terms: 6x + -1(3 + 5x) = 5(x + -3) + 2 6x + (3 * -1 + 5x * -1) = 5(x + -3) + 2 6x + (-3 + -5x) = 5(x + -3) + 2 Reorder the terms: -3 + 6x + -5x = 5(x + -3) + 2 Combine like terms: 6x + -5x = 1x -3 + 1x = 5(x + -3) + 2 Reorder the terms: -3 + 1x = 5(-3 + x) + 2 -3 + 1x = (-3 * 5 + x * 5) + 2 -3 + 1x = (-15 + 5x) + 2 Reorder the terms: -3 + 1x = -15 + 2 + 5x Combine like terms: -15 + 2 = -13 -3 + 1x = -13 + 5x Solving -3 + 1x = -13 + 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. -3 + 1x + -5x = -13 + 5x + -5x Combine like terms: 1x + -5x = -4x -3 + -4x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -4x = -13 + 0 -3 + -4x = -13 Add '3' to each side of the equation. -3 + 3 + -4x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -13 + 3 -4x = -13 + 3 Combine like terms: -13 + 3 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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