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Simplifying 15x + -12 + -5(4x + -2) = 4(3 + -1x) + -10 Reorder the terms: 15x + -12 + -5(-2 + 4x) = 4(3 + -1x) + -10 15x + -12 + (-2 * -5 + 4x * -5) = 4(3 + -1x) + -10 15x + -12 + (10 + -20x) = 4(3 + -1x) + -10 Reorder the terms: -12 + 10 + 15x + -20x = 4(3 + -1x) + -10 Combine like terms: -12 + 10 = -2 -2 + 15x + -20x = 4(3 + -1x) + -10 Combine like terms: 15x + -20x = -5x -2 + -5x = 4(3 + -1x) + -10 -2 + -5x = (3 * 4 + -1x * 4) + -10 -2 + -5x = (12 + -4x) + -10 Reorder the terms: -2 + -5x = 12 + -10 + -4x Combine like terms: 12 + -10 = 2 -2 + -5x = 2 + -4x Solving -2 + -5x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -5x + 4x = 2 + -4x + 4x Combine like terms: -5x + 4x = -1x -2 + -1x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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