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Simplifying 4(2X + 3) = 5(3x + -4) + 2 Reorder the terms: 4(3 + 2X) = 5(3x + -4) + 2 (3 * 4 + 2X * 4) = 5(3x + -4) + 2 (12 + 8X) = 5(3x + -4) + 2 Reorder the terms: 12 + 8X = 5(-4 + 3x) + 2 12 + 8X = (-4 * 5 + 3x * 5) + 2 12 + 8X = (-20 + 15x) + 2 Reorder the terms: 12 + 8X = -20 + 2 + 15x Combine like terms: -20 + 2 = -18 12 + 8X = -18 + 15x Solving 12 + 8X = -18 + 15x 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 + -12 + 8X = -18 + -12 + 15x Combine like terms: 12 + -12 = 0 0 + 8X = -18 + -12 + 15x 8X = -18 + -12 + 15x Combine like terms: -18 + -12 = -30 8X = -30 + 15x Divide each side by '8'. X = -3.75 + 1.875x Simplifying X = -3.75 + 1.875x
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