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Simplifying 5x + -1(2x + 9) = 6x + -45 Reorder the terms: 5x + -1(9 + 2x) = 6x + -45 5x + (9 * -1 + 2x * -1) = 6x + -45 5x + (-9 + -2x) = 6x + -45 Reorder the terms: -9 + 5x + -2x = 6x + -45 Combine like terms: 5x + -2x = 3x -9 + 3x = 6x + -45 Reorder the terms: -9 + 3x = -45 + 6x Solving -9 + 3x = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 3x + -6x = -45 + 6x + -6x Combine like terms: 3x + -6x = -3x -9 + -3x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -3x = -45 + 0 -9 + -3x = -45 Add '9' to each side of the equation. -9 + 9 + -3x = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -45 + 9 -3x = -45 + 9 Combine like terms: -45 + 9 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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