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Simplifying 15x + -2(7 + 12X) = -16x + -6 + 5(3x + 8) 15x + (7 * -2 + 12X * -2) = -16x + -6 + 5(3x + 8) 15x + (-14 + -24X) = -16x + -6 + 5(3x + 8) Reorder the terms: -14 + -24X + 15x = -16x + -6 + 5(3x + 8) Reorder the terms: -14 + -24X + 15x = -16x + -6 + 5(8 + 3x) -14 + -24X + 15x = -16x + -6 + (8 * 5 + 3x * 5) -14 + -24X + 15x = -16x + -6 + (40 + 15x) Reorder the terms: -14 + -24X + 15x = -6 + 40 + -16x + 15x Combine like terms: -6 + 40 = 34 -14 + -24X + 15x = 34 + -16x + 15x Combine like terms: -16x + 15x = -1x -14 + -24X + 15x = 34 + -1x Solving -14 + -24X + 15x = 34 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -24X + 14 + 15x = 34 + 14 + -1x Reorder the terms: -14 + 14 + -24X + 15x = 34 + 14 + -1x Combine like terms: -14 + 14 = 0 0 + -24X + 15x = 34 + 14 + -1x -24X + 15x = 34 + 14 + -1x Combine like terms: 34 + 14 = 48 -24X + 15x = 48 + -1x Add '-15x' to each side of the equation. -24X + 15x + -15x = 48 + -1x + -15x Combine like terms: 15x + -15x = 0 -24X + 0 = 48 + -1x + -15x -24X = 48 + -1x + -15x Combine like terms: -1x + -15x = -16x -24X = 48 + -16x Divide each side by '-24'. X = -2 + 0.6666666667x Simplifying X = -2 + 0.6666666667x
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