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Simplifying 14x + -1(3x + -2) = 5x + 2x + -1 Reorder the terms: 14x + -1(-2 + 3x) = 5x + 2x + -1 14x + (-2 * -1 + 3x * -1) = 5x + 2x + -1 14x + (2 + -3x) = 5x + 2x + -1 Reorder the terms: 2 + 14x + -3x = 5x + 2x + -1 Combine like terms: 14x + -3x = 11x 2 + 11x = 5x + 2x + -1 Reorder the terms: 2 + 11x = -1 + 5x + 2x Combine like terms: 5x + 2x = 7x 2 + 11x = -1 + 7x Solving 2 + 11x = -1 + 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. 2 + 11x + -7x = -1 + 7x + -7x Combine like terms: 11x + -7x = 4x 2 + 4x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 4x = -1 + 0 2 + 4x = -1 Add '-2' to each side of the equation. 2 + -2 + 4x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -1 + -2 4x = -1 + -2 Combine like terms: -1 + -2 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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