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Simplifying 4(3x + -2) + -2 = 4(x + -5) + 50 Reorder the terms: 4(-2 + 3x) + -2 = 4(x + -5) + 50 (-2 * 4 + 3x * 4) + -2 = 4(x + -5) + 50 (-8 + 12x) + -2 = 4(x + -5) + 50 Reorder the terms: -8 + -2 + 12x = 4(x + -5) + 50 Combine like terms: -8 + -2 = -10 -10 + 12x = 4(x + -5) + 50 Reorder the terms: -10 + 12x = 4(-5 + x) + 50 -10 + 12x = (-5 * 4 + x * 4) + 50 -10 + 12x = (-20 + 4x) + 50 Reorder the terms: -10 + 12x = -20 + 50 + 4x Combine like terms: -20 + 50 = 30 -10 + 12x = 30 + 4x Solving -10 + 12x = 30 + 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. -10 + 12x + -4x = 30 + 4x + -4x Combine like terms: 12x + -4x = 8x -10 + 8x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 8x = 30 + 0 -10 + 8x = 30 Add '10' to each side of the equation. -10 + 10 + 8x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 30 + 10 8x = 30 + 10 Combine like terms: 30 + 10 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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