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