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Simplifying -8(z + 2) + 5(3x + -7) = 6(x + -3) + 13 Reorder the terms: -8(2 + z) + 5(3x + -7) = 6(x + -3) + 13 (2 * -8 + z * -8) + 5(3x + -7) = 6(x + -3) + 13 (-16 + -8z) + 5(3x + -7) = 6(x + -3) + 13 Reorder the terms: -16 + -8z + 5(-7 + 3x) = 6(x + -3) + 13 -16 + -8z + (-7 * 5 + 3x * 5) = 6(x + -3) + 13 -16 + -8z + (-35 + 15x) = 6(x + -3) + 13 Reorder the terms: -16 + -35 + 15x + -8z = 6(x + -3) + 13 Combine like terms: -16 + -35 = -51 -51 + 15x + -8z = 6(x + -3) + 13 Reorder the terms: -51 + 15x + -8z = 6(-3 + x) + 13 -51 + 15x + -8z = (-3 * 6 + x * 6) + 13 -51 + 15x + -8z = (-18 + 6x) + 13 Reorder the terms: -51 + 15x + -8z = -18 + 13 + 6x Combine like terms: -18 + 13 = -5 -51 + 15x + -8z = -5 + 6x Solving -51 + 15x + -8z = -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 + 15x + -6x + -8z = -5 + 6x + -6x Combine like terms: 15x + -6x = 9x -51 + 9x + -8z = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 9x + -8z = -5 + 0 -51 + 9x + -8z = -5 Add '51' to each side of the equation. -51 + 9x + 51 + -8z = -5 + 51 Reorder the terms: -51 + 51 + 9x + -8z = -5 + 51 Combine like terms: -51 + 51 = 0 0 + 9x + -8z = -5 + 51 9x + -8z = -5 + 51 Combine like terms: -5 + 51 = 46 9x + -8z = 46 Add '8z' to each side of the equation. 9x + -8z + 8z = 46 + 8z Combine like terms: -8z + 8z = 0 9x + 0 = 46 + 8z 9x = 46 + 8z Divide each side by '9'. x = 5.111111111 + 0.8888888889z Simplifying x = 5.111111111 + 0.8888888889z
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