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Simplifying 4x + 2 + 7x + -14 = 1 + -9(x + 1) Reorder the terms: 2 + -14 + 4x + 7x = 1 + -9(x + 1) Combine like terms: 2 + -14 = -12 -12 + 4x + 7x = 1 + -9(x + 1) Combine like terms: 4x + 7x = 11x -12 + 11x = 1 + -9(x + 1) Reorder the terms: -12 + 11x = 1 + -9(1 + x) -12 + 11x = 1 + (1 * -9 + x * -9) -12 + 11x = 1 + (-9 + -9x) Combine like terms: 1 + -9 = -8 -12 + 11x = -8 + -9x Solving -12 + 11x = -8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + 11x + 9x = -8 + -9x + 9x Combine like terms: 11x + 9x = 20x -12 + 20x = -8 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 20x = -8 + 0 -12 + 20x = -8 Add '12' to each side of the equation. -12 + 12 + 20x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = -8 + 12 20x = -8 + 12 Combine like terms: -8 + 12 = 4 20x = 4 Divide each side by '20'. x = 0.2 Simplifying x = 0.2
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