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Simplifying 5x + 3 + -1(3x + -7) = x + 9 Reorder the terms: 5x + 3 + -1(-7 + 3x) = x + 9 5x + 3 + (-7 * -1 + 3x * -1) = x + 9 5x + 3 + (7 + -3x) = x + 9 Reorder the terms: 3 + 7 + 5x + -3x = x + 9 Combine like terms: 3 + 7 = 10 10 + 5x + -3x = x + 9 Combine like terms: 5x + -3x = 2x 10 + 2x = x + 9 Reorder the terms: 10 + 2x = 9 + x Solving 10 + 2x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 2x + -1x = 9 + x + -1x Combine like terms: 2x + -1x = 1x 10 + 1x = 9 + x + -1x Combine like terms: x + -1x = 0 10 + 1x = 9 + 0 10 + 1x = 9 Add '-10' to each side of the equation. 10 + -10 + 1x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 9 + -10 1x = 9 + -10 Combine like terms: 9 + -10 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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