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Simplifying -8(x + 2) + 5(3x + -7) = 6(x + -3) + 13 Reorder the terms: -8(2 + x) + 5(3x + -7) = 6(x + -3) + 13 (2 * -8 + x * -8) + 5(3x + -7) = 6(x + -3) + 13 (-16 + -8x) + 5(3x + -7) = 6(x + -3) + 13 Reorder the terms: -16 + -8x + 5(-7 + 3x) = 6(x + -3) + 13 -16 + -8x + (-7 * 5 + 3x * 5) = 6(x + -3) + 13 -16 + -8x + (-35 + 15x) = 6(x + -3) + 13 Reorder the terms: -16 + -35 + -8x + 15x = 6(x + -3) + 13 Combine like terms: -16 + -35 = -51 -51 + -8x + 15x = 6(x + -3) + 13 Combine like terms: -8x + 15x = 7x -51 + 7x = 6(x + -3) + 13 Reorder the terms: -51 + 7x = 6(-3 + x) + 13 -51 + 7x = (-3 * 6 + x * 6) + 13 -51 + 7x = (-18 + 6x) + 13 Reorder the terms: -51 + 7x = -18 + 13 + 6x Combine like terms: -18 + 13 = -5 -51 + 7x = -5 + 6x Solving -51 + 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. -51 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x -51 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 1x = -5 + 0 -51 + 1x = -5 Add '51' to each side of the equation. -51 + 51 + 1x = -5 + 51 Combine like terms: -51 + 51 = 0 0 + 1x = -5 + 51 1x = -5 + 51 Combine like terms: -5 + 51 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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