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Simplifying 2(x + -3) + -3(2x + 1) = 5(1 + -1x) Reorder the terms: 2(-3 + x) + -3(2x + 1) = 5(1 + -1x) (-3 * 2 + x * 2) + -3(2x + 1) = 5(1 + -1x) (-6 + 2x) + -3(2x + 1) = 5(1 + -1x) Reorder the terms: -6 + 2x + -3(1 + 2x) = 5(1 + -1x) -6 + 2x + (1 * -3 + 2x * -3) = 5(1 + -1x) -6 + 2x + (-3 + -6x) = 5(1 + -1x) Reorder the terms: -6 + -3 + 2x + -6x = 5(1 + -1x) Combine like terms: -6 + -3 = -9 -9 + 2x + -6x = 5(1 + -1x) Combine like terms: 2x + -6x = -4x -9 + -4x = 5(1 + -1x) -9 + -4x = (1 * 5 + -1x * 5) -9 + -4x = (5 + -5x) Solving -9 + -4x = 5 + -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. -9 + -4x + 5x = 5 + -5x + 5x Combine like terms: -4x + 5x = 1x -9 + 1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 1x = 5 + 0 -9 + 1x = 5 Add '9' to each side of the equation. -9 + 9 + 1x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 5 + 9 1x = 5 + 9 Combine like terms: 5 + 9 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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