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Simplifying 7(x + -1) + 3(x + 1) = 21 + -4x Reorder the terms: 7(-1 + x) + 3(x + 1) = 21 + -4x (-1 * 7 + x * 7) + 3(x + 1) = 21 + -4x (-7 + 7x) + 3(x + 1) = 21 + -4x Reorder the terms: -7 + 7x + 3(1 + x) = 21 + -4x -7 + 7x + (1 * 3 + x * 3) = 21 + -4x -7 + 7x + (3 + 3x) = 21 + -4x Reorder the terms: -7 + 3 + 7x + 3x = 21 + -4x Combine like terms: -7 + 3 = -4 -4 + 7x + 3x = 21 + -4x Combine like terms: 7x + 3x = 10x -4 + 10x = 21 + -4x Solving -4 + 10x = 21 + -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. -4 + 10x + 4x = 21 + -4x + 4x Combine like terms: 10x + 4x = 14x -4 + 14x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 14x = 21 + 0 -4 + 14x = 21 Add '4' to each side of the equation. -4 + 4 + 14x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 21 + 4 14x = 21 + 4 Combine like terms: 21 + 4 = 25 14x = 25 Divide each side by '14'. x = 1.785714286 Simplifying x = 1.785714286
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