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Simplifying -5(x + 3) + 4(3x + -6) = 6(x + -3) + 13 Reorder the terms: -5(3 + x) + 4(3x + -6) = 6(x + -3) + 13 (3 * -5 + x * -5) + 4(3x + -6) = 6(x + -3) + 13 (-15 + -5x) + 4(3x + -6) = 6(x + -3) + 13 Reorder the terms: -15 + -5x + 4(-6 + 3x) = 6(x + -3) + 13 -15 + -5x + (-6 * 4 + 3x * 4) = 6(x + -3) + 13 -15 + -5x + (-24 + 12x) = 6(x + -3) + 13 Reorder the terms: -15 + -24 + -5x + 12x = 6(x + -3) + 13 Combine like terms: -15 + -24 = -39 -39 + -5x + 12x = 6(x + -3) + 13 Combine like terms: -5x + 12x = 7x -39 + 7x = 6(x + -3) + 13 Reorder the terms: -39 + 7x = 6(-3 + x) + 13 -39 + 7x = (-3 * 6 + x * 6) + 13 -39 + 7x = (-18 + 6x) + 13 Reorder the terms: -39 + 7x = -18 + 13 + 6x Combine like terms: -18 + 13 = -5 -39 + 7x = -5 + 6x Solving -39 + 7x = -5 + 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. -39 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x -39 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -39 + 1x = -5 + 0 -39 + 1x = -5 Add '39' to each side of the equation. -39 + 39 + 1x = -5 + 39 Combine like terms: -39 + 39 = 0 0 + 1x = -5 + 39 1x = -5 + 39 Combine like terms: -5 + 39 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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