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Simplifying 7x + -1(4x + 4) = 5x + -18 Reorder the terms: 7x + -1(4 + 4x) = 5x + -18 7x + (4 * -1 + 4x * -1) = 5x + -18 7x + (-4 + -4x) = 5x + -18 Reorder the terms: -4 + 7x + -4x = 5x + -18 Combine like terms: 7x + -4x = 3x -4 + 3x = 5x + -18 Reorder the terms: -4 + 3x = -18 + 5x Solving -4 + 3x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = -18 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -18 + 0 -4 + -2x = -18 Add '4' to each side of the equation. -4 + 4 + -2x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -18 + 4 -2x = -18 + 4 Combine like terms: -18 + 4 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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