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Simplifying 2x + -4(2 + -3x) = 4(x + -5) + -18 2x + (2 * -4 + -3x * -4) = 4(x + -5) + -18 2x + (-8 + 12x) = 4(x + -5) + -18 Reorder the terms: -8 + 2x + 12x = 4(x + -5) + -18 Combine like terms: 2x + 12x = 14x -8 + 14x = 4(x + -5) + -18 Reorder the terms: -8 + 14x = 4(-5 + x) + -18 -8 + 14x = (-5 * 4 + x * 4) + -18 -8 + 14x = (-20 + 4x) + -18 Reorder the terms: -8 + 14x = -20 + -18 + 4x Combine like terms: -20 + -18 = -38 -8 + 14x = -38 + 4x Solving -8 + 14x = -38 + 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. -8 + 14x + -4x = -38 + 4x + -4x Combine like terms: 14x + -4x = 10x -8 + 10x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 10x = -38 + 0 -8 + 10x = -38 Add '8' to each side of the equation. -8 + 8 + 10x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -38 + 8 10x = -38 + 8 Combine like terms: -38 + 8 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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