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Simplifying 6x + -4(1 + -3x) = 5(x + 3) + 13 6x + (1 * -4 + -3x * -4) = 5(x + 3) + 13 6x + (-4 + 12x) = 5(x + 3) + 13 Reorder the terms: -4 + 6x + 12x = 5(x + 3) + 13 Combine like terms: 6x + 12x = 18x -4 + 18x = 5(x + 3) + 13 Reorder the terms: -4 + 18x = 5(3 + x) + 13 -4 + 18x = (3 * 5 + x * 5) + 13 -4 + 18x = (15 + 5x) + 13 Reorder the terms: -4 + 18x = 15 + 13 + 5x Combine like terms: 15 + 13 = 28 -4 + 18x = 28 + 5x Solving -4 + 18x = 28 + 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. -4 + 18x + -5x = 28 + 5x + -5x Combine like terms: 18x + -5x = 13x -4 + 13x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 13x = 28 + 0 -4 + 13x = 28 Add '4' to each side of the equation. -4 + 4 + 13x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 28 + 4 13x = 28 + 4 Combine like terms: 28 + 4 = 32 13x = 32 Divide each side by '13'. x = 2.461538462 Simplifying x = 2.461538462
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