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Simplifying -14x + -2(x + 4) = 5 + -1(x + 2) Reorder the terms: -14x + -2(4 + x) = 5 + -1(x + 2) -14x + (4 * -2 + x * -2) = 5 + -1(x + 2) -14x + (-8 + -2x) = 5 + -1(x + 2) Reorder the terms: -8 + -14x + -2x = 5 + -1(x + 2) Combine like terms: -14x + -2x = -16x -8 + -16x = 5 + -1(x + 2) Reorder the terms: -8 + -16x = 5 + -1(2 + x) -8 + -16x = 5 + (2 * -1 + x * -1) -8 + -16x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 -8 + -16x = 3 + -1x Solving -8 + -16x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + -16x + x = 3 + -1x + x Combine like terms: -16x + x = -15x -8 + -15x = 3 + -1x + x Combine like terms: -1x + x = 0 -8 + -15x = 3 + 0 -8 + -15x = 3 Add '8' to each side of the equation. -8 + 8 + -15x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = 3 + 8 -15x = 3 + 8 Combine like terms: 3 + 8 = 11 -15x = 11 Divide each side by '-15'. x = -0.7333333333 Simplifying x = -0.7333333333
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