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Simplifying 5x + -1(x + 7) = 2x + -19 Reorder the terms: 5x + -1(7 + x) = 2x + -19 5x + (7 * -1 + x * -1) = 2x + -19 5x + (-7 + -1x) = 2x + -19 Reorder the terms: -7 + 5x + -1x = 2x + -19 Combine like terms: 5x + -1x = 4x -7 + 4x = 2x + -19 Reorder the terms: -7 + 4x = -19 + 2x Solving -7 + 4x = -19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 4x + -2x = -19 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = -19 + 0 -7 + 2x = -19 Add '7' to each side of the equation. -7 + 7 + 2x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -19 + 7 2x = -19 + 7 Combine like terms: -19 + 7 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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