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Simplifying 9(3x + -5) + -30x = 2x + 7 Reorder the terms: 9(-5 + 3x) + -30x = 2x + 7 (-5 * 9 + 3x * 9) + -30x = 2x + 7 (-45 + 27x) + -30x = 2x + 7 Combine like terms: 27x + -30x = -3x -45 + -3x = 2x + 7 Reorder the terms: -45 + -3x = 7 + 2x Solving -45 + -3x = 7 + 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. -45 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x -45 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -5x = 7 + 0 -45 + -5x = 7 Add '45' to each side of the equation. -45 + 45 + -5x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 7 + 45 -5x = 7 + 45 Combine like terms: 7 + 45 = 52 -5x = 52 Divide each side by '-5'. x = -10.4 Simplifying x = -10.4
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