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Simplifying 4(-3x + 5) = -10(x + -2) + -2X Reorder the terms: 4(5 + -3x) = -10(x + -2) + -2X (5 * 4 + -3x * 4) = -10(x + -2) + -2X (20 + -12x) = -10(x + -2) + -2X Reorder the terms: 20 + -12x = -10(-2 + x) + -2X 20 + -12x = (-2 * -10 + x * -10) + -2X 20 + -12x = (20 + -10x) + -2X Reorder the terms: 20 + -12x = 20 + -2X + -10x Add '-20' to each side of the equation. 20 + -20 + -12x = 20 + -2X + -20 + -10x Combine like terms: 20 + -20 = 0 0 + -12x = 20 + -2X + -20 + -10x -12x = 20 + -2X + -20 + -10x Reorder the terms: -12x = 20 + -20 + -2X + -10x Combine like terms: 20 + -20 = 0 -12x = 0 + -2X + -10x -12x = -2X + -10x Solving -12x = -2X + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12x + 10x = -2X + -10x + 10x Combine like terms: -12x + 10x = -2x -2x = -2X + -10x + 10x Combine like terms: -10x + 10x = 0 -2x = -2X + 0 -2x = -2X Divide each side by '-2'. x = X Simplifying x = X
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