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Simplifying 3x + -16 = 16x + 4 + -1(2x + 10) Reorder the terms: -16 + 3x = 16x + 4 + -1(2x + 10) Reorder the terms: -16 + 3x = 16x + 4 + -1(10 + 2x) -16 + 3x = 16x + 4 + (10 * -1 + 2x * -1) -16 + 3x = 16x + 4 + (-10 + -2x) Reorder the terms: -16 + 3x = 4 + -10 + 16x + -2x Combine like terms: 4 + -10 = -6 -16 + 3x = -6 + 16x + -2x Combine like terms: 16x + -2x = 14x -16 + 3x = -6 + 14x Solving -16 + 3x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -16 + 3x + -14x = -6 + 14x + -14x Combine like terms: 3x + -14x = -11x -16 + -11x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -16 + -11x = -6 + 0 -16 + -11x = -6 Add '16' to each side of the equation. -16 + 16 + -11x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -11x = -6 + 16 -11x = -6 + 16 Combine like terms: -6 + 16 = 10 -11x = 10 Divide each side by '-11'. x = -0.9090909091 Simplifying x = -0.9090909091
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