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Simplifying 2(3x + -1) + 3(2x + -3) = 5(2x + 1) + -4 Reorder the terms: 2(-1 + 3x) + 3(2x + -3) = 5(2x + 1) + -4 (-1 * 2 + 3x * 2) + 3(2x + -3) = 5(2x + 1) + -4 (-2 + 6x) + 3(2x + -3) = 5(2x + 1) + -4 Reorder the terms: -2 + 6x + 3(-3 + 2x) = 5(2x + 1) + -4 -2 + 6x + (-3 * 3 + 2x * 3) = 5(2x + 1) + -4 -2 + 6x + (-9 + 6x) = 5(2x + 1) + -4 Reorder the terms: -2 + -9 + 6x + 6x = 5(2x + 1) + -4 Combine like terms: -2 + -9 = -11 -11 + 6x + 6x = 5(2x + 1) + -4 Combine like terms: 6x + 6x = 12x -11 + 12x = 5(2x + 1) + -4 Reorder the terms: -11 + 12x = 5(1 + 2x) + -4 -11 + 12x = (1 * 5 + 2x * 5) + -4 -11 + 12x = (5 + 10x) + -4 Reorder the terms: -11 + 12x = 5 + -4 + 10x Combine like terms: 5 + -4 = 1 -11 + 12x = 1 + 10x Solving -11 + 12x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -11 + 12x + -10x = 1 + 10x + -10x Combine like terms: 12x + -10x = 2x -11 + 2x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + 2x = 1 + 0 -11 + 2x = 1 Add '11' to each side of the equation. -11 + 11 + 2x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 1 + 11 2x = 1 + 11 Combine like terms: 1 + 11 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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