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Simplifying 5x + -7(x + 1) = -9 + 2x Reorder the terms: 5x + -7(1 + x) = -9 + 2x 5x + (1 * -7 + x * -7) = -9 + 2x 5x + (-7 + -7x) = -9 + 2x Reorder the terms: -7 + 5x + -7x = -9 + 2x Combine like terms: 5x + -7x = -2x -7 + -2x = -9 + 2x Solving -7 + -2x = -9 + 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 + -2x + -2x = -9 + 2x + -2x Combine like terms: -2x + -2x = -4x -7 + -4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -4x = -9 + 0 -7 + -4x = -9 Add '7' to each side of the equation. -7 + 7 + -4x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -9 + 7 -4x = -9 + 7 Combine like terms: -9 + 7 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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