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Simplifying 5x + -3(2x + 1) = 2x + -9 Reorder the terms: 5x + -3(1 + 2x) = 2x + -9 5x + (1 * -3 + 2x * -3) = 2x + -9 5x + (-3 + -6x) = 2x + -9 Reorder the terms: -3 + 5x + -6x = 2x + -9 Combine like terms: 5x + -6x = -1x -3 + -1x = 2x + -9 Reorder the terms: -3 + -1x = -9 + 2x Solving -3 + -1x = -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. -3 + -1x + -2x = -9 + 2x + -2x Combine like terms: -1x + -2x = -3x -3 + -3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -3x = -9 + 0 -3 + -3x = -9 Add '3' to each side of the equation. -3 + 3 + -3x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -9 + 3 -3x = -9 + 3 Combine like terms: -9 + 3 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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