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Simplifying 5X + -3 + 3(-2x + -7) = 5x + -1(12 + 3x) Reorder the terms: 5X + -3 + 3(-7 + -2x) = 5x + -1(12 + 3x) 5X + -3 + (-7 * 3 + -2x * 3) = 5x + -1(12 + 3x) 5X + -3 + (-21 + -6x) = 5x + -1(12 + 3x) Reorder the terms: -3 + -21 + 5X + -6x = 5x + -1(12 + 3x) Combine like terms: -3 + -21 = -24 -24 + 5X + -6x = 5x + -1(12 + 3x) -24 + 5X + -6x = 5x + (12 * -1 + 3x * -1) -24 + 5X + -6x = 5x + (-12 + -3x) Reorder the terms: -24 + 5X + -6x = -12 + 5x + -3x Combine like terms: 5x + -3x = 2x -24 + 5X + -6x = -12 + 2x Solving -24 + 5X + -6x = -12 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 5X + 24 + -6x = -12 + 24 + 2x Reorder the terms: -24 + 24 + 5X + -6x = -12 + 24 + 2x Combine like terms: -24 + 24 = 0 0 + 5X + -6x = -12 + 24 + 2x 5X + -6x = -12 + 24 + 2x Combine like terms: -12 + 24 = 12 5X + -6x = 12 + 2x Add '6x' to each side of the equation. 5X + -6x + 6x = 12 + 2x + 6x Combine like terms: -6x + 6x = 0 5X + 0 = 12 + 2x + 6x 5X = 12 + 2x + 6x Combine like terms: 2x + 6x = 8x 5X = 12 + 8x Divide each side by '5'. X = 2.4 + 1.6x Simplifying X = 2.4 + 1.6x
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