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Simplifying 7x + -1(3x + 4) = -2(2x + -1) + 10 Reorder the terms: 7x + -1(4 + 3x) = -2(2x + -1) + 10 7x + (4 * -1 + 3x * -1) = -2(2x + -1) + 10 7x + (-4 + -3x) = -2(2x + -1) + 10 Reorder the terms: -4 + 7x + -3x = -2(2x + -1) + 10 Combine like terms: 7x + -3x = 4x -4 + 4x = -2(2x + -1) + 10 Reorder the terms: -4 + 4x = -2(-1 + 2x) + 10 -4 + 4x = (-1 * -2 + 2x * -2) + 10 -4 + 4x = (2 + -4x) + 10 Reorder the terms: -4 + 4x = 2 + 10 + -4x Combine like terms: 2 + 10 = 12 -4 + 4x = 12 + -4x Solving -4 + 4x = 12 + -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 + 4x + 4x = 12 + -4x + 4x Combine like terms: 4x + 4x = 8x -4 + 8x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 8x = 12 + 0 -4 + 8x = 12 Add '4' to each side of the equation. -4 + 4 + 8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 12 + 4 8x = 12 + 4 Combine like terms: 12 + 4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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