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Simplifying 7(-3x + -2) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) Reorder the terms: 7(-2 + -3x) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) (-2 * 7 + -3x * 7) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) (-14 + -21x) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) Reorder the terms: -14 + -21x + -5(1 + 5x) = 9(2x + -5) + -3(3x + -5) -14 + -21x + (1 * -5 + 5x * -5) = 9(2x + -5) + -3(3x + -5) -14 + -21x + (-5 + -25x) = 9(2x + -5) + -3(3x + -5) Reorder the terms: -14 + -5 + -21x + -25x = 9(2x + -5) + -3(3x + -5) Combine like terms: -14 + -5 = -19 -19 + -21x + -25x = 9(2x + -5) + -3(3x + -5) Combine like terms: -21x + -25x = -46x -19 + -46x = 9(2x + -5) + -3(3x + -5) Reorder the terms: -19 + -46x = 9(-5 + 2x) + -3(3x + -5) -19 + -46x = (-5 * 9 + 2x * 9) + -3(3x + -5) -19 + -46x = (-45 + 18x) + -3(3x + -5) Reorder the terms: -19 + -46x = -45 + 18x + -3(-5 + 3x) -19 + -46x = -45 + 18x + (-5 * -3 + 3x * -3) -19 + -46x = -45 + 18x + (15 + -9x) Reorder the terms: -19 + -46x = -45 + 15 + 18x + -9x Combine like terms: -45 + 15 = -30 -19 + -46x = -30 + 18x + -9x Combine like terms: 18x + -9x = 9x -19 + -46x = -30 + 9x Solving -19 + -46x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -19 + -46x + -9x = -30 + 9x + -9x Combine like terms: -46x + -9x = -55x -19 + -55x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 + -55x = -30 + 0 -19 + -55x = -30 Add '19' to each side of the equation. -19 + 19 + -55x = -30 + 19 Combine like terms: -19 + 19 = 0 0 + -55x = -30 + 19 -55x = -30 + 19 Combine like terms: -30 + 19 = -11 -55x = -11 Divide each side by '-55'. x = 0.2 Simplifying x = 0.2
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