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Simplifying 7x + -4(6 + -1x) + 3(x + 1) = -7 7x + (6 * -4 + -1x * -4) + 3(x + 1) = -7 7x + (-24 + 4x) + 3(x + 1) = -7 Reorder the terms: 7x + -24 + 4x + 3(1 + x) = -7 7x + -24 + 4x + (1 * 3 + x * 3) = -7 7x + -24 + 4x + (3 + 3x) = -7 Reorder the terms: -24 + 3 + 7x + 4x + 3x = -7 Combine like terms: -24 + 3 = -21 -21 + 7x + 4x + 3x = -7 Combine like terms: 7x + 4x = 11x -21 + 11x + 3x = -7 Combine like terms: 11x + 3x = 14x -21 + 14x = -7 Solving -21 + 14x = -7 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 + 14x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 14x = -7 + 21 14x = -7 + 21 Combine like terms: -7 + 21 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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