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Simplifying -4x + -5(x + 1) = -7x + -19 Reorder the terms: -4x + -5(1 + x) = -7x + -19 -4x + (1 * -5 + x * -5) = -7x + -19 -4x + (-5 + -5x) = -7x + -19 Reorder the terms: -5 + -4x + -5x = -7x + -19 Combine like terms: -4x + -5x = -9x -5 + -9x = -7x + -19 Reorder the terms: -5 + -9x = -19 + -7x Solving -5 + -9x = -19 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + -9x + 7x = -19 + -7x + 7x Combine like terms: -9x + 7x = -2x -5 + -2x = -19 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + -2x = -19 + 0 -5 + -2x = -19 Add '5' to each side of the equation. -5 + 5 + -2x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -19 + 5 -2x = -19 + 5 Combine like terms: -19 + 5 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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