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Simplifying 5(X + 3) + 4x + -3 = -2(x + -4) + 2 Reorder the terms: 5(3 + X) + 4x + -3 = -2(x + -4) + 2 (3 * 5 + X * 5) + 4x + -3 = -2(x + -4) + 2 (15 + 5X) + 4x + -3 = -2(x + -4) + 2 Reorder the terms: 15 + -3 + 5X + 4x = -2(x + -4) + 2 Combine like terms: 15 + -3 = 12 12 + 5X + 4x = -2(x + -4) + 2 Reorder the terms: 12 + 5X + 4x = -2(-4 + x) + 2 12 + 5X + 4x = (-4 * -2 + x * -2) + 2 12 + 5X + 4x = (8 + -2x) + 2 Reorder the terms: 12 + 5X + 4x = 8 + 2 + -2x Combine like terms: 8 + 2 = 10 12 + 5X + 4x = 10 + -2x Solving 12 + 5X + 4x = 10 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 5X + -12 + 4x = 10 + -12 + -2x Reorder the terms: 12 + -12 + 5X + 4x = 10 + -12 + -2x Combine like terms: 12 + -12 = 0 0 + 5X + 4x = 10 + -12 + -2x 5X + 4x = 10 + -12 + -2x Combine like terms: 10 + -12 = -2 5X + 4x = -2 + -2x Add '-4x' to each side of the equation. 5X + 4x + -4x = -2 + -2x + -4x Combine like terms: 4x + -4x = 0 5X + 0 = -2 + -2x + -4x 5X = -2 + -2x + -4x Combine like terms: -2x + -4x = -6x 5X = -2 + -6x Divide each side by '5'. X = -0.4 + -1.2x Simplifying X = -0.4 + -1.2x
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