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Simplifying 5x + 3(x + -1) = 9x + 7 Reorder the terms: 5x + 3(-1 + x) = 9x + 7 5x + (-1 * 3 + x * 3) = 9x + 7 5x + (-3 + 3x) = 9x + 7 Reorder the terms: -3 + 5x + 3x = 9x + 7 Combine like terms: 5x + 3x = 8x -3 + 8x = 9x + 7 Reorder the terms: -3 + 8x = 7 + 9x Solving -3 + 8x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 8x + -9x = 7 + 9x + -9x Combine like terms: 8x + -9x = -1x -3 + -1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -1x = 7 + 0 -3 + -1x = 7 Add '3' to each side of the equation. -3 + 3 + -1x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 7 + 3 -1x = 7 + 3 Combine like terms: 7 + 3 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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