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Simplifying 7x + -1(x + 4) = 11x + -12 Reorder the terms: 7x + -1(4 + x) = 11x + -12 7x + (4 * -1 + x * -1) = 11x + -12 7x + (-4 + -1x) = 11x + -12 Reorder the terms: -4 + 7x + -1x = 11x + -12 Combine like terms: 7x + -1x = 6x -4 + 6x = 11x + -12 Reorder the terms: -4 + 6x = -12 + 11x Solving -4 + 6x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + 6x + -11x = -12 + 11x + -11x Combine like terms: 6x + -11x = -5x -4 + -5x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -5x = -12 + 0 -4 + -5x = -12 Add '4' to each side of the equation. -4 + 4 + -5x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -12 + 4 -5x = -12 + 4 Combine like terms: -12 + 4 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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