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Simplifying 5x + -9 = 3(x + -2) * 1 + -5 Reorder the terms: -9 + 5x = 3(x + -2) * 1 + -5 Reorder the terms: -9 + 5x = 3(-2 + x) * 1 + -5 Reorder the terms for easier multiplication: -9 + 5x = 3 * 1(-2 + x) + -5 Multiply 3 * 1 -9 + 5x = 3(-2 + x) + -5 -9 + 5x = (-2 * 3 + x * 3) + -5 -9 + 5x = (-6 + 3x) + -5 Reorder the terms: -9 + 5x = -6 + -5 + 3x Combine like terms: -6 + -5 = -11 -9 + 5x = -11 + 3x Solving -9 + 5x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 5x + -3x = -11 + 3x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 2x = -11 + 0 -9 + 2x = -11 Add '9' to each side of the equation. -9 + 9 + 2x = -11 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -11 + 9 2x = -11 + 9 Combine like terms: -11 + 9 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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