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Simplifying 2(x + -5) + -3(7 + -4x) = 7x + -3 Reorder the terms: 2(-5 + x) + -3(7 + -4x) = 7x + -3 (-5 * 2 + x * 2) + -3(7 + -4x) = 7x + -3 (-10 + 2x) + -3(7 + -4x) = 7x + -3 -10 + 2x + (7 * -3 + -4x * -3) = 7x + -3 -10 + 2x + (-21 + 12x) = 7x + -3 Reorder the terms: -10 + -21 + 2x + 12x = 7x + -3 Combine like terms: -10 + -21 = -31 -31 + 2x + 12x = 7x + -3 Combine like terms: 2x + 12x = 14x -31 + 14x = 7x + -3 Reorder the terms: -31 + 14x = -3 + 7x Solving -31 + 14x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -31 + 14x + -7x = -3 + 7x + -7x Combine like terms: 14x + -7x = 7x -31 + 7x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + 7x = -3 + 0 -31 + 7x = -3 Add '31' to each side of the equation. -31 + 31 + 7x = -3 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = -3 + 31 7x = -3 + 31 Combine like terms: -3 + 31 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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