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Simplifying 7 + 2(x + -4) = 11x + -4(x + -2) Reorder the terms: 7 + 2(-4 + x) = 11x + -4(x + -2) 7 + (-4 * 2 + x * 2) = 11x + -4(x + -2) 7 + (-8 + 2x) = 11x + -4(x + -2) Combine like terms: 7 + -8 = -1 -1 + 2x = 11x + -4(x + -2) Reorder the terms: -1 + 2x = 11x + -4(-2 + x) -1 + 2x = 11x + (-2 * -4 + x * -4) -1 + 2x = 11x + (8 + -4x) Reorder the terms: -1 + 2x = 8 + 11x + -4x Combine like terms: 11x + -4x = 7x -1 + 2x = 8 + 7x Solving -1 + 2x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x -1 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -5x = 8 + 0 -1 + -5x = 8 Add '1' to each side of the equation. -1 + 1 + -5x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 8 + 1 -5x = 8 + 1 Combine like terms: 8 + 1 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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