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Simplifying (-14x + -10) + -1(8 + -2x) = 3(-4x + -2) + -5(-6 + 3x) Reorder the terms: (-10 + -14x) + -1(8 + -2x) = 3(-4x + -2) + -5(-6 + 3x) Remove parenthesis around (-10 + -14x) -10 + -14x + -1(8 + -2x) = 3(-4x + -2) + -5(-6 + 3x) -10 + -14x + (8 * -1 + -2x * -1) = 3(-4x + -2) + -5(-6 + 3x) -10 + -14x + (-8 + 2x) = 3(-4x + -2) + -5(-6 + 3x) Reorder the terms: -10 + -8 + -14x + 2x = 3(-4x + -2) + -5(-6 + 3x) Combine like terms: -10 + -8 = -18 -18 + -14x + 2x = 3(-4x + -2) + -5(-6 + 3x) Combine like terms: -14x + 2x = -12x -18 + -12x = 3(-4x + -2) + -5(-6 + 3x) Reorder the terms: -18 + -12x = 3(-2 + -4x) + -5(-6 + 3x) -18 + -12x = (-2 * 3 + -4x * 3) + -5(-6 + 3x) -18 + -12x = (-6 + -12x) + -5(-6 + 3x) -18 + -12x = -6 + -12x + (-6 * -5 + 3x * -5) -18 + -12x = -6 + -12x + (30 + -15x) Reorder the terms: -18 + -12x = -6 + 30 + -12x + -15x Combine like terms: -6 + 30 = 24 -18 + -12x = 24 + -12x + -15x Combine like terms: -12x + -15x = -27x -18 + -12x = 24 + -27x Solving -18 + -12x = 24 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -18 + -12x + 27x = 24 + -27x + 27x Combine like terms: -12x + 27x = 15x -18 + 15x = 24 + -27x + 27x Combine like terms: -27x + 27x = 0 -18 + 15x = 24 + 0 -18 + 15x = 24 Add '18' to each side of the equation. -18 + 18 + 15x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 24 + 18 15x = 24 + 18 Combine like terms: 24 + 18 = 42 15x = 42 Divide each side by '15'. x = 2.8 Simplifying x = 2.8
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