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Simplifying -14x + -2(x + 5) = -4(x + 4) + 18 Reorder the terms: -14x + -2(5 + x) = -4(x + 4) + 18 -14x + (5 * -2 + x * -2) = -4(x + 4) + 18 -14x + (-10 + -2x) = -4(x + 4) + 18 Reorder the terms: -10 + -14x + -2x = -4(x + 4) + 18 Combine like terms: -14x + -2x = -16x -10 + -16x = -4(x + 4) + 18 Reorder the terms: -10 + -16x = -4(4 + x) + 18 -10 + -16x = (4 * -4 + x * -4) + 18 -10 + -16x = (-16 + -4x) + 18 Reorder the terms: -10 + -16x = -16 + 18 + -4x Combine like terms: -16 + 18 = 2 -10 + -16x = 2 + -4x Solving -10 + -16x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -16x + 4x = 2 + -4x + 4x Combine like terms: -16x + 4x = -12x -10 + -12x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + -12x = 2 + 0 -10 + -12x = 2 Add '10' to each side of the equation. -10 + 10 + -12x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 2 + 10 -12x = 2 + 10 Combine like terms: 2 + 10 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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