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Simplifying 2(3x + -10) + 5x + 3 + -4(1 + x) = 0 Reorder the terms: 2(-10 + 3x) + 5x + 3 + -4(1 + x) = 0 (-10 * 2 + 3x * 2) + 5x + 3 + -4(1 + x) = 0 (-20 + 6x) + 5x + 3 + -4(1 + x) = 0 -20 + 6x + 5x + 3 + (1 * -4 + x * -4) = 0 -20 + 6x + 5x + 3 + (-4 + -4x) = 0 Reorder the terms: -20 + 3 + -4 + 6x + 5x + -4x = 0 Combine like terms: -20 + 3 = -17 -17 + -4 + 6x + 5x + -4x = 0 Combine like terms: -17 + -4 = -21 -21 + 6x + 5x + -4x = 0 Combine like terms: 6x + 5x = 11x -21 + 11x + -4x = 0 Combine like terms: 11x + -4x = 7x -21 + 7x = 0 Solving -21 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 0 + 21 7x = 0 + 21 Combine like terms: 0 + 21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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